Finding the Third Proportional to 20,432 and 32,531
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Solution
The third proportional to 20,432 and 32,531 is: 51,794.54
Step by Step Solution
- Step 1: Write the proportion equation
20,432 : 32,531 = 32,531 : x - Step 2: Convert to fraction form
20,432/32,531 = 32,531/x - Step 3: Cross multiply
20,432x = 32,531 × 32,531 - Step 4: Simplify right side
20,432x = 1,058,265,961 - Step 5: Solve for x
x = 1,058,265,961/20,432 - Step 6: Final answer
x = 51,794.54
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.