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Finding the Third Proportional to 216,760 and 287,691

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Solution

The third proportional to 216,760 and 287,691 is: 381,832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,760 : 287,691 = 287,691 : x
  2. Step 2: Convert to fraction form
    216,760/287,691 = 287,691/x
  3. Step 3: Cross multiply
    216,760x = 287,691 × 287,691
  4. Step 4: Simplify right side
    216,760x = 82,766,111,481
  5. Step 5: Solve for x
    x = 82,766,111,481/216,760
  6. Step 6: Final answer
    x = 381,832.96

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.