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Finding the Third Proportional to 80,418 and 169,908

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Solution

The third proportional to 80,418 and 169,908 is: 358,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,418 : 169,908 = 169,908 : x
  2. Step 2: Convert to fraction form
    80,418/169,908 = 169,908/x
  3. Step 3: Cross multiply
    80,418x = 169,908 × 169,908
  4. Step 4: Simplify right side
    80,418x = 28,868,728,464
  5. Step 5: Solve for x
    x = 28,868,728,464/80,418
  6. Step 6: Final answer
    x = 358,983.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.