You Do Need power plug adapter while traveling from Tahiti to Puerto Rico.

Here is Why You Need An Adapter

The outlet and plug type used in Puerto Rico are A and B and in Tahiti are C and E. This is how they look like.

Tahiti

In Tahiti, outlets of type C and E are in use.

Type C

Type E

Puerto Rico

In Puerto Rico, outlets of type A and B are in use.

Type A

Type B