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Finding the Third Proportional to 6.96 and 11.18

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Solution

The third proportional to 6.96 and 11.18 is: 17.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.96 : 11.18 = 11.18 : x
  2. Step 2: Convert to fraction form
    6.96/11.18 = 11.18/x
  3. Step 3: Cross multiply
    6.96x = 11.18 × 11.18
  4. Step 4: Simplify right side
    6.96x = 124.99
  5. Step 5: Solve for x
    x = 124.99/6.96
  6. Step 6: Final answer
    x = 17.96

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.