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Finding the Third Proportional to 28.28 and 62.24

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Solution

The third proportional to 28.28 and 62.24 is: 136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.28 : 62.24 = 62.24 : x
  2. Step 2: Convert to fraction form
    28.28/62.24 = 62.24/x
  3. Step 3: Cross multiply
    28.28x = 62.24 × 62.24
  4. Step 4: Simplify right side
    28.28x = 3,874.33
  5. Step 5: Solve for x
    x = 3,874.33/28.28
  6. Step 6: Final answer
    x = 136.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.