South Georgia and South Sandwich Islands is about 27 times smaller than Ohio.

Ohio is approximately 106,056 sq km, while South Georgia and South Sandwich Islands is approximately 3,903 sq km, making South Georgia and South Sandwich Islands 3.68% the size of Ohio.
Tip: This to-scale comparison of Ohio vs. South Georgia and South Sandwich Islands uses the Mercator projection, which distorts the size of regions near the poles.

Compare further: South Georgia and South Sandwich Islands vs. Ohio