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Finding the Third Proportional to 10.75 and 11.22

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Solution

The third proportional to 10.75 and 11.22 is: 11.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.75 : 11.22 = 11.22 : x
  2. Step 2: Convert to fraction form
    10.75/11.22 = 11.22/x
  3. Step 3: Cross multiply
    10.75x = 11.22 × 11.22
  4. Step 4: Simplify right side
    10.75x = 125.86
  5. Step 5: Solve for x
    x = 125.86/10.75
  6. Step 6: Final answer
    x = 11.71

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.