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Finding the Third Proportional to 87,292.13 and 139,470.19

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Solution

The third proportional to 87,292.13 and 139,470.19 is: 222,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,292.13 : 139,470.19 = 139,470.19 : x
  2. Step 2: Convert to fraction form
    87,292.13/139,470.19 = 139,470.19/x
  3. Step 3: Cross multiply
    87,292.13x = 139,470.19 × 139,470.19
  4. Step 4: Simplify right side
    87,292.13x = 19,451,933,201.29
  5. Step 5: Solve for x
    x = 19,451,933,201.29/87,292.13
  6. Step 6: Final answer
    x = 222,837.21

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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.