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mean proportional

American  

noun

Mathematics.
  1. (between two numbers a andb ) a number x for which a/x = x/b .

    The number 3 is a mean proportional between 1 and 9.


Etymology

Origin of mean proportional

First recorded in 1565–75

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

See Examples For:

The perpendicular is the mean proportional between the segments of the hypotenuse.

From The Teaching of Geometry by David Eugene Smith

Assuming π to be 3⅛, he finds out by working instance after instance that the mean proportional between one-fifth of the area and one-fifth of eight is the radius.

From A Budget of Paradoxes, Volume II by David Eugene Smith

Then x - 5 is a mean proportional between x - 9 and x, from which we find that x equals 25.

From Amusements in Mathematics by Henry Ernest Dudeney

Was his confounding two mean proportionals with one mean proportional found twice over a trick of the same intent? if so, it beats cockfighting.

From A Budget of Paradoxes, Volume II by David Eugene Smith

Each of the other sides is the mean proportional between the hypotenuse and the segment of the hypotenuse adjacent to that side.

From The Teaching of Geometry by David Eugene Smith

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