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Finding the Third Proportional to 7.38 and 11.13

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Solution

The third proportional to 7.38 and 11.13 is: 16.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.38 : 11.13 = 11.13 : x
  2. Step 2: Convert to fraction form
    7.38/11.13 = 11.13/x
  3. Step 3: Cross multiply
    7.38x = 11.13 × 11.13
  4. Step 4: Simplify right side
    7.38x = 123.77
  5. Step 5: Solve for x
    x = 123.77/7.38
  6. Step 6: Final answer
    x = 16.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.