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Finding the Third Proportional to 80,167 and 169,385

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Solution

The third proportional to 80,167 and 169,385 is: 357,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,167 : 169,385 = 169,385 : x
  2. Step 2: Convert to fraction form
    80,167/169,385 = 169,385/x
  3. Step 3: Cross multiply
    80,167x = 169,385 × 169,385
  4. Step 4: Simplify right side
    80,167x = 28,691,278,225
  5. Step 5: Solve for x
    x = 28,691,278,225/80,167
  6. Step 6: Final answer
    x = 357,893.87

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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.