South Dakota is about 1.6 times smaller than New Mexico.

New Mexico is approximately 314,310 sq km, while South Dakota is approximately 196,540 sq km, making South Dakota 62.53% the size of New Mexico. Meanwhile, the population of New Mexico is ~2.1 million people (1.2 million fewer people live in South Dakota).
Tip: This to-scale comparison of New Mexico vs. South Dakota uses the Mercator projection, which distorts the size of regions near the poles.