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Finding the Third Proportional to 10.96 and 12.97

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Solution

The third proportional to 10.96 and 12.97 is: 15.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.96 : 12.97 = 12.97 : x
  2. Step 2: Convert to fraction form
    10.96/12.97 = 12.97/x
  3. Step 3: Cross multiply
    10.96x = 12.97 × 12.97
  4. Step 4: Simplify right side
    10.96x = 168.19
  5. Step 5: Solve for x
    x = 168.19/10.96
  6. Step 6: Final answer
    x = 15.34

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.