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Finding the Third Proportional to 79,781 and 169,930

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Solution

The third proportional to 79,781 and 169,930 is: 361,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,781 : 169,930 = 169,930 : x
  2. Step 2: Convert to fraction form
    79,781/169,930 = 169,930/x
  3. Step 3: Cross multiply
    79,781x = 169,930 × 169,930
  4. Step 4: Simplify right side
    79,781x = 28,876,204,900
  5. Step 5: Solve for x
    x = 28,876,204,900/79,781
  6. Step 6: Final answer
    x = 361,943.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.