South Dakota is around the same size as North Dakota.

North Dakota is approximately 178,647 sq km, while South Dakota is approximately 196,540 sq km, making South Dakota 10% larger than North Dakota. Meanwhile, the population of North Dakota is ~672,591 people (141,589 more people live in South Dakota).
Tip: This to-scale comparison of North Dakota vs. South Dakota uses the Mercator projection, which distorts the size of regions near the poles.