South Dakota is about 1.9 times smaller than Montana.

Montana is approximately 376,979 sq km, while South Dakota is approximately 196,540 sq km, making South Dakota 52.14% the size of Montana. Meanwhile, the population of Montana is ~989,415 people (175,235 fewer people live in South Dakota).
Tip: This to-scale comparison of Montana vs. South Dakota uses the Mercator projection, which distorts the size of regions near the poles.