Finding the Third Proportional to 21,532 and 31,446
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Solution
The third proportional to 21,532 and 31,446 is: 45,924.71
Step by Step Solution
- Step 1: Write the proportion equation
21,532 : 31,446 = 31,446 : x - Step 2: Convert to fraction form
21,532/31,446 = 31,446/x - Step 3: Cross multiply
21,532x = 31,446 × 31,446 - Step 4: Simplify right side
21,532x = 988,850,916 - Step 5: Solve for x
x = 988,850,916/21,532 - Step 6: Final answer
x = 45,924.71
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.