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Finding the Third Proportional to 8.71 and 11.49

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Solution

The third proportional to 8.71 and 11.49 is: 15.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.71 : 11.49 = 11.49 : x
  2. Step 2: Convert to fraction form
    8.71/11.49 = 11.49/x
  3. Step 3: Cross multiply
    8.71x = 11.49 × 11.49
  4. Step 4: Simplify right side
    8.71x = 132.08
  5. Step 5: Solve for x
    x = 132.08/8.71
  6. Step 6: Final answer
    x = 15.16

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.