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Finding the Third Proportional to 79,691 and 171,677

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Solution

The third proportional to 79,691 and 171,677 is: 369,840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,691 : 171,677 = 171,677 : x
  2. Step 2: Convert to fraction form
    79,691/171,677 = 171,677/x
  3. Step 3: Cross multiply
    79,691x = 171,677 × 171,677
  4. Step 4: Simplify right side
    79,691x = 29,472,992,329
  5. Step 5: Solve for x
    x = 29,472,992,329/79,691
  6. Step 6: Final answer
    x = 369,840.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.