Wyoming is about 1.3 times bigger than South Dakota.

South Dakota is approximately 196,540 sq km, while Wyoming is approximately 251,489 sq km, making Wyoming 28% larger than South Dakota. Meanwhile, the population of South Dakota is ~814,180 people (250,554 fewer people live in Wyoming).
Tip: This to-scale comparison of South Dakota vs. Wyoming uses the Mercator projection, which distorts the size of regions near the poles.