Huntington-Hill method
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The Huntington-Hill method of apportionment assigns seats by finding a modified divisor D such that each constinuency's quotient (population divided by D), when rounded by geometric mean of the lower and upper quota, yields the correct number of seats.
The United States House of Representatives uses this method of apportionment to assign representative seats to each state.
[edit] Example
Although the U.S. House of Representatives actually uses the Equal Porportionment Method to apportion the states' representatives based on their population, if, in 1790, the U.S. House of Representatives had been apportioned using the Huntington-Hill method with a divisor of 34,800, the apportionment would have been calculated as:
| State | Population | Quotas | Lower | Upper | G. Mean | Rnd. Dir. | Seats |
|---|---|---|---|---|---|---|---|
| Virginia | 630,560 | 18.12 | 18 | 19 | 18.49 | down | 18 |
| Massachusetts | 475,327 | 13.66 | 13 | 14 | 13.49 | up | 14 |
| Pennsylvania | 432,879 | 12.44 | 12 | 13 | 12.49 | down | 12 |
| North Carolina | 353,523 | 10.16 | 10 | 11 | 10.49 | down | 10 |
| New York | 331,589 | 9.53 | 9 | 10 | 9.49 | up | 10 |
| Maryland | 278,514 | 8.00 | 8 | 9 | 8.49 | down | 8 |
| Connecticut | 236,841 | 6.81 | 6 | 7 | 6.48 | up | 7 |
| South Carolina | 206,236 | 5.93 | 5 | 6 | 5.48 | up | 6 |
| New Jersey | 179,570 | 5.16 | 5 | 6 | 5.48 | down | 5 |
| New Hampshire | 141,822 | 4.08 | 4 | 5 | 4.47 | down | 4 |
| Vermont | 85,533 | 2.46 | 2 | 3 | 2.45 | up | 3 |
| Georgia | 70,835 | 2.04 | 2 | 3 | 2.45 | down | 2 |
| Kentucky | 68,705 | 1.97 | 1 | 2 | 1.41 | up | 2 |
| Rhode Island | 68,446 | 1.97 | 1 | 2 | 1.41 | up | 2 |
| Delaware | 55,540 | 1.60 | 1 | 2 | 1.41 | up | 2 |
