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Finding the Third Proportional to 87,469 and 139,249

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Solution

The third proportional to 87,469 and 139,249 is: 221,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,469 : 139,249 = 139,249 : x
  2. Step 2: Convert to fraction form
    87,469/139,249 = 139,249/x
  3. Step 3: Cross multiply
    87,469x = 139,249 × 139,249
  4. Step 4: Simplify right side
    87,469x = 19,390,284,001
  5. Step 5: Solve for x
    x = 19,390,284,001/87,469
  6. Step 6: Final answer
    x = 221,681.78

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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.