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The question (what is the meaning of "strength of ratio") sounds a little funny because there are more often discussed ratios such as "strength to weight" or "strength to length" or strength to many other imaginable and readily quantifiable attributes (age, exposure, density of material, etc). But the "strength of a ratio" is more about the magnitude of the quotient that the ratio makes. In other words, any ratio can be written as a fraction. a : b can be written a/b where a is an integer and b is a positive nonzero integer. Then a/b is a element of the rational numbers Q. The magnitude of a scalar number is effectively it's strength, because when a/b multiplies another number, the product is scaled in a "stronger" manner than a'/b' (another rational number) if and only if |a/b| > |a'/b'|.

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