Alaska is about 163 times bigger than Puerto Rico.

Puerto Rico is approximately 9,104 sq km, while Alaska is approximately 1,481,348 sq km, making Alaska 16,171% larger than Puerto Rico. Meanwhile, the population of Puerto Rico is ~3.1 million people (2.4 million fewer people live in Alaska).
Tip: This to-scale comparison of Puerto Rico vs. Alaska uses the Mercator projection, which distorts the size of regions near the poles.