Page:Joseph Story, Commentaries on the Constitution of the United States (1st ed, 1833, vol II).djvu/150

 142 § 676. But the difficulty is far otherwise in regard to representatives. Here, there can be no subdivision of the unit; each state must be entitled to an entire representative, and a fraction of a representative is incapable of apportionment. Yet it will be perceived at once, that it is scarcely possible, and certainly is wholly improbable, that the relative numbers in each state should bear such an exact proportion to the aggregate, that there should exist a common divisor for all, which should leave no fraction in any state. Such a case never yet has existed; and in all human probability it never will. Every common divisor, hitherto applied, has left a fraction greater, or smaller, in every state; and what has been in the past must continue to be for the future. Assume the whole population to be three, or six, or nine, or twelve millions, or any other number; if you follow the injunctions of the constitution, and attempt to apportion the representatives according to the numbers in each state, it will be found to be absolutely impossible. The theory, however true, becomes practically false in its application. Each state may have assigned a relative proportion of representatives up to a given number, the whole being divisible by some common divisor; but the fraction of population belonging to each beyond that point is left unprovided for. So that the apportionment is, at best, only an approximation to the rule laid down by the constitution, and not a strict compliance with the rule. The fraction in one state may be ten times as great, as that in another; and so may differ in each state in any assignable mathematical proportion. What then is to be done? Is the constitution to be wholly