New Mexico is about 116 times bigger than Rhode Island.

Rhode Island is approximately 2,706 sq km, while New Mexico is approximately 314,310 sq km, making New Mexico 11,515% larger than Rhode Island. Meanwhile, the population of Rhode Island is ~1.1 million people (1.0 million more people live in New Mexico).
Tip: This to-scale comparison of Rhode Island vs. New Mexico uses the Mercator projection, which distorts the size of regions near the poles.