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Finding the Third Proportional to 8.56 and 11.44

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Solution

The third proportional to 8.56 and 11.44 is: 15.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.56 : 11.44 = 11.44 : x
  2. Step 2: Convert to fraction form
    8.56/11.44 = 11.44/x
  3. Step 3: Cross multiply
    8.56x = 11.44 × 11.44
  4. Step 4: Simplify right side
    8.56x = 130.82
  5. Step 5: Solve for x
    x = 130.82/8.56
  6. Step 6: Final answer
    x = 15.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.