Why did Frodo allowed himself to be........

[Theron Bugtussle]

I don't know about Bilbo resisting better than Frodo.

Agreed. And Bilbo did surrender the ring willingly, but he was not surrendering it to destruction.

That would have been an interesting thought. Bilbo never could imagine the ring not being there. Even though he was present at the Council of Elrond and knew the Fellowship's goal was to destroy the ring, at the end of the book, he still asked Frodo if he could have another look at it. It still possessed him to some degree.