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Finding the Third Proportional to 81,288 and 171,432

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Solution

The third proportional to 81,288 and 171,432 is: 361,540.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,288 : 171,432 = 171,432 : x
  2. Step 2: Convert to fraction form
    81,288/171,432 = 171,432/x
  3. Step 3: Cross multiply
    81,288x = 171,432 × 171,432
  4. Step 4: Simplify right side
    81,288x = 29,388,930,624
  5. Step 5: Solve for x
    x = 29,388,930,624/81,288
  6. Step 6: Final answer
    x = 361,540.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.