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Finding the Third Proportional to 40,090 and 71,432

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Solution

The third proportional to 40,090 and 71,432 is: 127,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,090 : 71,432 = 71,432 : x
  2. Step 2: Convert to fraction form
    40,090/71,432 = 71,432/x
  3. Step 3: Cross multiply
    40,090x = 71,432 × 71,432
  4. Step 4: Simplify right side
    40,090x = 5,102,530,624
  5. Step 5: Solve for x
    x = 5,102,530,624/40,090
  6. Step 6: Final answer
    x = 127,276.89

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.