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Finding the Third Proportional to 28.53 and 39.87

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Solution

The third proportional to 28.53 and 39.87 is: 55.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.53 : 39.87 = 39.87 : x
  2. Step 2: Convert to fraction form
    28.53/39.87 = 39.87/x
  3. Step 3: Cross multiply
    28.53x = 39.87 × 39.87
  4. Step 4: Simplify right side
    28.53x = 1,589.24
  5. Step 5: Solve for x
    x = 1,589.24/28.53
  6. Step 6: Final answer
    x = 55.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.