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Finding the Third Proportional to 85,351.31 and 131,877

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Solution

The third proportional to 85,351.31 and 131,877 is: 203,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,351.31 : 131,877 = 131,877 : x
  2. Step 2: Convert to fraction form
    85,351.31/131,877 = 131,877/x
  3. Step 3: Cross multiply
    85,351.31x = 131,877 × 131,877
  4. Step 4: Simplify right side
    85,351.31x = 17,391,543,129
  5. Step 5: Solve for x
    x = 17,391,543,129/85,351.31
  6. Step 6: Final answer
    x = 203,764.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.