Virgin Islands is about 165 times smaller than New Mexico.

New Mexico is approximately 314,310 sq km, while Virgin Islands is approximately 1,910 sq km, making Virgin Islands 0.61% the size of New Mexico. Meanwhile, the population of New Mexico is ~2.1 million people (2.0 million fewer people live in Virgin Islands).
Tip: This to-scale comparison of New Mexico vs. Virgin Islands uses the Mercator projection, which distorts the size of regions near the poles.