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Finding the Third Proportional to 15,642 and 32,902

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Solution

The third proportional to 15,642 and 32,902 is: 69,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642 : 32,902 = 32,902 : x
  2. Step 2: Convert to fraction form
    15,642/32,902 = 32,902/x
  3. Step 3: Cross multiply
    15,642x = 32,902 × 32,902
  4. Step 4: Simplify right side
    15,642x = 1,082,541,604
  5. Step 5: Solve for x
    x = 1,082,541,604/15,642
  6. Step 6: Final answer
    x = 69,207.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.