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Finding the Third Proportional to 13.29 and 31.96

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Solution

The third proportional to 13.29 and 31.96 is: 76.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.29 : 31.96 = 31.96 : x
  2. Step 2: Convert to fraction form
    13.29/31.96 = 31.96/x
  3. Step 3: Cross multiply
    13.29x = 31.96 × 31.96
  4. Step 4: Simplify right side
    13.29x = 1,021.25
  5. Step 5: Solve for x
    x = 1,021.25/13.29
  6. Step 6: Final answer
    x = 76.85

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.