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Finding the Third Proportional to 79,387 and 169,691

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Solution

The third proportional to 79,387 and 169,691 is: 362,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,387 : 169,691 = 169,691 : x
  2. Step 2: Convert to fraction form
    79,387/169,691 = 169,691/x
  3. Step 3: Cross multiply
    79,387x = 169,691 × 169,691
  4. Step 4: Simplify right side
    79,387x = 28,795,035,481
  5. Step 5: Solve for x
    x = 28,795,035,481/79,387
  6. Step 6: Final answer
    x = 362,717.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.