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Finding the Third Proportional to 29.11 and 61.38

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Solution

The third proportional to 29.11 and 61.38 is: 129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.11 : 61.38 = 61.38 : x
  2. Step 2: Convert to fraction form
    29.11/61.38 = 61.38/x
  3. Step 3: Cross multiply
    29.11x = 61.38 × 61.38
  4. Step 4: Simplify right side
    29.11x = 3,767.85
  5. Step 5: Solve for x
    x = 3,767.85/29.11
  6. Step 6: Final answer
    x = 129.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.