District of Columbia is about 599 times smaller than Ohio.

Ohio is approximately 106,056 sq km, while District of Columbia is approximately 177 sq km, making District of Columbia 0.17% the size of Ohio. Meanwhile, the population of Ohio is ~11.5 million people (10.9 million fewer people live in District of Columbia).
Tip: This to-scale comparison of Ohio vs. District of Columbia uses the Mercator projection, which distorts the size of regions near the poles.