Great question — answering as the UphillTech team:
As you already know that the Chronology of Fast & Furious franchise is different from the release order but the reason for it is more complex than the chronology. Tokyo Drift has nothing to do with the first two films. Diesel was hoping to make more films in the Riddick franchise of sci-fi action pictures. To do that, though, he needed to get the rights for the character from Universal, which also produced the Fast & Furious movies. He agreed to cameo at the end of Tokyo Drift — as a promise of his return to the franchise in a fourth film (which eventually happened) — but instead of payment, he asked for the Riddick rights. Universal gave them to him, and another Riddick movie came out in...
Full answer by Ankit Sharma: https://movies.stackexchange.com/a/33566 (CC BY-SA 4.0).
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