District of Columbia is about 579 times smaller than Virginia.

Virginia is approximately 102,548 sq km, while District of Columbia is approximately 177 sq km, making District of Columbia 0.17% the size of Virginia. Meanwhile, the population of Virginia is ~8.0 million people (7.4 million fewer people live in District of Columbia).
Tip: This to-scale comparison of Virginia vs. District of Columbia uses the Mercator projection, which distorts the size of regions near the poles.