New Mexico is about 1.6 times bigger than South Dakota.

South Dakota is approximately 196,540 sq km, while New Mexico is approximately 314,310 sq km, making New Mexico 60% larger than South Dakota. Meanwhile, the population of South Dakota is ~814,180 people (1.2 million more people live in New Mexico).
Tip: This to-scale comparison of South Dakota vs. New Mexico uses the Mercator projection, which distorts the size of regions near the poles.