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Finding the Third Proportional to 7.11 and 9.16

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Solution

The third proportional to 7.11 and 9.16 is: 11.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.11 : 9.16 = 9.16 : x
  2. Step 2: Convert to fraction form
    7.11/9.16 = 9.16/x
  3. Step 3: Cross multiply
    7.11x = 9.16 × 9.16
  4. Step 4: Simplify right side
    7.11x = 83.94
  5. Step 5: Solve for x
    x = 83.94/7.11
  6. Step 6: Final answer
    x = 11.81

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.