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Finding the Third Proportional to 67,707 and 149,427

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Solution

The third proportional to 67,707 and 149,427 is: 329,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,707 : 149,427 = 149,427 : x
  2. Step 2: Convert to fraction form
    67,707/149,427 = 149,427/x
  3. Step 3: Cross multiply
    67,707x = 149,427 × 149,427
  4. Step 4: Simplify right side
    67,707x = 22,328,428,329
  5. Step 5: Solve for x
    x = 22,328,428,329/67,707
  6. Step 6: Final answer
    x = 329,780.20

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.