Ohio is about 599 times bigger than District of Columbia.

District of Columbia is approximately 177 sq km, while Ohio is approximately 106,056 sq km, making Ohio 59,819% larger than District of Columbia. Meanwhile, the population of District of Columbia is ~601,723 people (10.9 million more people live in Ohio).
Tip: This to-scale comparison of District of Columbia vs. Ohio uses the Mercator projection, which distorts the size of regions near the poles.