Montana is about 1.9 times bigger than South Dakota.

South Dakota is approximately 196,540 sq km, while Montana is approximately 376,979 sq km, making Montana 92% larger than South Dakota. Meanwhile, the population of South Dakota is ~814,180 people (175,235 more people live in Montana).
Tip: This to-scale comparison of South Dakota vs. Montana uses the Mercator projection, which distorts the size of regions near the poles.