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Finding the Third Proportional to 28.28 and 41.13

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Solution

The third proportional to 28.28 and 41.13 is: 59.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.28 : 41.13 = 41.13 : x
  2. Step 2: Convert to fraction form
    28.28/41.13 = 41.13/x
  3. Step 3: Cross multiply
    28.28x = 41.13 × 41.13
  4. Step 4: Simplify right side
    28.28x = 1,692.00
  5. Step 5: Solve for x
    x = 1,692.00/28.28
  6. Step 6: Final answer
    x = 59.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.