Ohio is about 4.4 times smaller than Papua New Guinea.

Papua New Guinea is approximately 462,840 sq km, while Ohio is approximately 106,056 sq km, making Ohio 22.91% the size of Papua New Guinea. Meanwhile, the population of Papua New Guinea is ~9.6 million people (1.9 million more people live in Ohio).
Tip: This to-scale comparison of Papua New Guinea vs. Ohio uses the Mercator projection, which distorts the size of regions near the poles.