Solomon Islands is about 2.7 times smaller than South Carolina.

South Carolina is approximately 77,983 sq km, while Solomon Islands is approximately 28,896 sq km, making Solomon Islands 37.05% the size of South Carolina. Meanwhile, the population of South Carolina is ~4.6 million people (3.9 million fewer people live in Solomon Islands).
Tip: This to-scale comparison of South Carolina vs. Solomon Islands uses the Mercator projection, which distorts the size of regions near the poles.