The ratios of the two ratios are 1:1 and 1:2, and the external terms of their formula are 1:4 and 1:9 respectively?

The ratios of the two ratios are 1:1 and 1:2, and the external terms of their formula are 1:4 and 1:9 respectively?

Answer: let the internal terms of the formula composed of these two ratios be x and Y respectively, then: (one fourth): x = Y: (one ninth) = one and one half = three half, so: x = (one fourth) divided by (three half) = one fourth multiplied by (two thirds) = one sixth, y = three half multiplied by one ninth = six