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Finding the Third Proportional to 87,040 and 117,436

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Solution

The third proportional to 87,040 and 117,436 is: 158,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,040 : 117,436 = 117,436 : x
  2. Step 2: Convert to fraction form
    87,040/117,436 = 117,436/x
  3. Step 3: Cross multiply
    87,040x = 117,436 × 117,436
  4. Step 4: Simplify right side
    87,040x = 13,791,214,096
  5. Step 5: Solve for x
    x = 13,791,214,096/87,040
  6. Step 6: Final answer
    x = 158,446.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.