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Finding the Third Proportional to 29.53 and 39.87

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Solution

The third proportional to 29.53 and 39.87 is: 53.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.53 : 39.87 = 39.87 : x
  2. Step 2: Convert to fraction form
    29.53/39.87 = 39.87/x
  3. Step 3: Cross multiply
    29.53x = 39.87 × 39.87
  4. Step 4: Simplify right side
    29.53x = 1,589.39
  5. Step 5: Solve for x
    x = 1,589.39/29.53
  6. Step 6: Final answer
    x = 53.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.