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Finding the Third Proportional to 85.13 and 132.05

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Solution

The third proportional to 85.13 and 132.05 is: 204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.13 : 132.05 = 132.05 : x
  2. Step 2: Convert to fraction form
    85.13/132.05 = 132.05/x
  3. Step 3: Cross multiply
    85.13x = 132.05 × 132.05
  4. Step 4: Simplify right side
    85.13x = 17,436.38
  5. Step 5: Solve for x
    x = 17,436.38/85.13
  6. Step 6: Final answer
    x = 204.83

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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.