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Finding the Third Proportional to 8.31 and 11.56

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Solution

The third proportional to 8.31 and 11.56 is: 16.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.31 : 11.56 = 11.56 : x
  2. Step 2: Convert to fraction form
    8.31/11.56 = 11.56/x
  3. Step 3: Cross multiply
    8.31x = 11.56 × 11.56
  4. Step 4: Simplify right side
    8.31x = 133.69
  5. Step 5: Solve for x
    x = 133.69/8.31
  6. Step 6: Final answer
    x = 16.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.