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Finding the Third Proportional to 85,791 and 129,317

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Solution

The third proportional to 85,791 and 129,317 is: 194,925.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,791 : 129,317 = 129,317 : x
  2. Step 2: Convert to fraction form
    85,791/129,317 = 129,317/x
  3. Step 3: Cross multiply
    85,791x = 129,317 × 129,317
  4. Step 4: Simplify right side
    85,791x = 16,722,886,489
  5. Step 5: Solve for x
    x = 16,722,886,489/85,791
  6. Step 6: Final answer
    x = 194,925.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.