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Finding the Third Proportional to 28.28 and 58.44

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Solution

The third proportional to 28.28 and 58.44 is: 120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.28 : 58.44 = 58.44 : x
  2. Step 2: Convert to fraction form
    28.28/58.44 = 58.44/x
  3. Step 3: Cross multiply
    28.28x = 58.44 × 58.44
  4. Step 4: Simplify right side
    28.28x = 3,414.94
  5. Step 5: Solve for x
    x = 3,414.94/28.28
  6. Step 6: Final answer
    x = 120.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.