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Finding the Third Proportional to 58,717 and 129,331

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Solution

The third proportional to 58,717 and 129,331 is: 284,866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,717 : 129,331 = 129,331 : x
  2. Step 2: Convert to fraction form
    58,717/129,331 = 129,331/x
  3. Step 3: Cross multiply
    58,717x = 129,331 × 129,331
  4. Step 4: Simplify right side
    58,717x = 16,726,507,561
  5. Step 5: Solve for x
    x = 16,726,507,561/58,717
  6. Step 6: Final answer
    x = 284,866.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.