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Finding the Third Proportional to 85,685.50 and 136,831

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Solution

The third proportional to 85,685.50 and 136,831 is: 218,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,685.50 : 136,831 = 136,831 : x
  2. Step 2: Convert to fraction form
    85,685.50/136,831 = 136,831/x
  3. Step 3: Cross multiply
    85,685.50x = 136,831 × 136,831
  4. Step 4: Simplify right side
    85,685.50x = 18,722,722,561
  5. Step 5: Solve for x
    x = 18,722,722,561/85,685.50
  6. Step 6: Final answer
    x = 218,505.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.