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Finding the Third Proportional to 87,490.13 and 137,269.13

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Solution

The third proportional to 87,490.13 and 137,269.13 is: 215,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,490.13 : 137,269.13 = 137,269.13 : x
  2. Step 2: Convert to fraction form
    87,490.13/137,269.13 = 137,269.13/x
  3. Step 3: Cross multiply
    87,490.13x = 137,269.13 × 137,269.13
  4. Step 4: Simplify right side
    87,490.13x = 18,842,812,678.27
  5. Step 5: Solve for x
    x = 18,842,812,678.27/87,490.13
  6. Step 6: Final answer
    x = 215,370.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.