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Finding the Third Proportional to 87,702 and 141,243

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Solution

The third proportional to 87,702 and 141,243 is: 227,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,702 : 141,243 = 141,243 : x
  2. Step 2: Convert to fraction form
    87,702/141,243 = 141,243/x
  3. Step 3: Cross multiply
    87,702x = 141,243 × 141,243
  4. Step 4: Simplify right side
    87,702x = 19,949,585,049
  5. Step 5: Solve for x
    x = 19,949,585,049/87,702
  6. Step 6: Final answer
    x = 227,470.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.