Christmas Island is about 2,328 times smaller than New Mexico.

New Mexico is approximately 314,310 sq km, while Christmas Island is approximately 135 sq km, making Christmas Island 0.04% the size of New Mexico. Meanwhile, the population of New Mexico is ~2.1 million people (2.1 million fewer people live in Christmas Island).
Tip: This to-scale comparison of New Mexico vs. Christmas Island uses the Mercator projection, which distorts the size of regions near the poles.