The story could begin at a time when both of their worlds are in chaos. Percy is dealing with a new threat to the demigod world and Katniss is fighting against a new, harsher regime in the Capitol. A mysterious force brings them together, thinking that they can help each other. So they meet in a desolate place, both on edge and ready for a fight, but then realizing they might be on the same side.
It could start with Percy getting lost in a strange forest that turns out to be part of the Hunger Games arena. He stumbles upon Katniss who is initially suspicious of him but soon realizes he has some extraordinary abilities.
In a fanfiction, they might team up to fight a common enemy. Since Percy has faced many mythological monsters and Katniss is used to fighting the Capitol's forces. They could combine their skills, like Percy's sword - fighting and Katniss's archery, to take on a new, powerful threat that somehow combines the worlds of Greek mythology and the Hunger Games universe. For example, a monster created by the Capitol using ancient magic.
Well, imagine a scenario where they are in a dangerous situation together. Harry might try to use magic to solve the problem immediately, but Katniss would remind him of the importance of being practical and using the resources at hand. For example, if they are lost in a forest, Harry could use magic to create light, but Katniss would be the one to find food and water. Their interaction would be a mix of learning from each other and sometimes disagreeing on the best way to handle things.
Percy would probably be both terrified and intrigued. He's used to facing powerful monsters, but Cthulhu is on a whole different level. He might initially try to attack Cthulhu out of instinct, but quickly realize that his usual weapons and powers might not be enough. So he would likely retreat and try to come up with a more strategic plan.
It could be depicted as a very intense meeting. Percy, with his sword Riptide, might be on guard when he first sees Shazam flying down. Shazam would be all confident with his lightning bolt emblem. Maybe there would be a stand - off at first.
Katniss' perspective as a survivor in a harsh world would likely make her focus on the survival aspects in the Percy Jackson fanfiction. She might be especially interested in how the characters deal with life - threatening situations and overcome them.
Yes, Katniss Everdeen is a fictional character. She's from the popular book and movie series 'The Hunger Games'.
Percy might be a bit curious too. He's used to strange things, and meeting someone related to such a powerful dark wizard could pique his interest. He could try to figure out if the grandson has the same evil intentions as Voldemort. He'd likely keep his distance at first, but as he observes the grandson, his reaction could change.
One possibility could be that they are transported into each other's worlds. Harry, with his magic, might be confused in the Hunger Games world at first. But he could use his spells to his advantage, like creating protective shields. Katniss, on the other hand, in the wizarding world, would rely on her hunting and survival skills. She might be a bit skeptical of magic at first but would soon learn to use magical weapons like the magic bows and arrows that could be created in that world.
She might be quite surprised. Fanfiction often takes the original story in new and unexpected directions. Katniss is a very practical and no - nonsense character. She might initially be skeptical about some of the more outlandish interpretations in the fanfiction.
Maybe a new character could be created as the main antagonist. A dark wizard who has infiltrated the Capitol and is using the Hunger Games as a means to create chaos and destruction. He could be more powerful than Voldemort in some ways and would be a great challenge for Harry and Katniss to overcome.