South Georgia and South Sandwich Islands is about 29 times smaller than Louisiana.

Louisiana is approximately 112,825 sq km, while South Georgia and South Sandwich Islands is approximately 3,903 sq km, making South Georgia and South Sandwich Islands 3.46% the size of Louisiana.
Tip: This to-scale comparison of Louisiana 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. Louisiana