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Finding the Third Proportional to 39.69 and 61.44

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Solution

The third proportional to 39.69 and 61.44 is: 95.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.69 : 61.44 = 61.44 : x
  2. Step 2: Convert to fraction form
    39.69/61.44 = 61.44/x
  3. Step 3: Cross multiply
    39.69x = 61.44 × 61.44
  4. Step 4: Simplify right side
    39.69x = 3,774.57
  5. Step 5: Solve for x
    x = 3,774.57/39.69
  6. Step 6: Final answer
    x = 95.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.