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Finding the Third Proportional to 81,769 and 182,671

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Solution

The third proportional to 81,769 and 182,671 is: 408,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,769 : 182,671 = 182,671 : x
  2. Step 2: Convert to fraction form
    81,769/182,671 = 182,671/x
  3. Step 3: Cross multiply
    81,769x = 182,671 × 182,671
  4. Step 4: Simplify right side
    81,769x = 33,368,694,241
  5. Step 5: Solve for x
    x = 33,368,694,241/81,769
  6. Step 6: Final answer
    x = 408,084.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.