Alaska is the largest, Rhode Island is the smallest.
Alaska: largest, Rhode Island smallest
The clue is most to least populated. The answer is largest to smallest.
Among all states, California exemplifies the opposite quality that Wyoming represents the least of.
Among all states, Alaska exemplifies the opposite quality that Rhode Island represents the least of.
In the first case the quality you're considering is that of being populous, in the second case the quality being considered is that of having land area, but in each case the relationship between the first state and the second state is the same.
If you can come up with a sentence that explains the relationship between two things, and then plug in different things into that sentence, that's a valid analogy.