New Mexico is about 165 times bigger than Virgin Islands.

Virgin Islands is approximately 1,910 sq km, while New Mexico is approximately 314,310 sq km, making New Mexico 16,356% larger than Virgin Islands. Meanwhile, the population of Virgin Islands is ~105,413 people (2.0 million more people live in New Mexico).
Tip: This to-scale comparison of Virgin Islands vs. New Mexico uses the Mercator projection, which distorts the size of regions near the poles.