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Finding the Third Proportional to 40.13 and 57.66

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Solution

The third proportional to 40.13 and 57.66 is: 82.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.13 : 57.66 = 57.66 : x
  2. Step 2: Convert to fraction form
    40.13/57.66 = 57.66/x
  3. Step 3: Cross multiply
    40.13x = 57.66 × 57.66
  4. Step 4: Simplify right side
    40.13x = 3,324.24
  5. Step 5: Solve for x
    x = 3,324.24/40.13
  6. Step 6: Final answer
    x = 82.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.