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Finding the Third Proportional to 76,691 and 166,871

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Solution

The third proportional to 76,691 and 166,871 is: 363,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,691 : 166,871 = 166,871 : x
  2. Step 2: Convert to fraction form
    76,691/166,871 = 166,871/x
  3. Step 3: Cross multiply
    76,691x = 166,871 × 166,871
  4. Step 4: Simplify right side
    76,691x = 27,845,930,641
  5. Step 5: Solve for x
    x = 27,845,930,641/76,691
  6. Step 6: Final answer
    x = 363,092.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.