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Finding the Third Proportional to 85,320 and 132,812

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Solution

The third proportional to 85,320 and 132,812 is: 206,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,320 : 132,812 = 132,812 : x
  2. Step 2: Convert to fraction form
    85,320/132,812 = 132,812/x
  3. Step 3: Cross multiply
    85,320x = 132,812 × 132,812
  4. Step 4: Simplify right side
    85,320x = 17,639,027,344
  5. Step 5: Solve for x
    x = 17,639,027,344/85,320
  6. Step 6: Final answer
    x = 206,739.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.