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Finding the Third Proportional to 31.44 and 61.66

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Solution

The third proportional to 31.44 and 61.66 is: 120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.44 : 61.66 = 61.66 : x
  2. Step 2: Convert to fraction form
    31.44/61.66 = 61.66/x
  3. Step 3: Cross multiply
    31.44x = 61.66 × 61.66
  4. Step 4: Simplify right side
    31.44x = 3,801.49
  5. Step 5: Solve for x
    x = 3,801.49/31.44
  6. Step 6: Final answer
    x = 120.92

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.