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Finding the Third Proportional to 81,272 and 129,779

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Solution

The third proportional to 81,272 and 129,779 is: 207,237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,272 : 129,779 = 129,779 : x
  2. Step 2: Convert to fraction form
    81,272/129,779 = 129,779/x
  3. Step 3: Cross multiply
    81,272x = 129,779 × 129,779
  4. Step 4: Simplify right side
    81,272x = 16,842,588,841
  5. Step 5: Solve for x
    x = 16,842,588,841/81,272
  6. Step 6: Final answer
    x = 207,237.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.