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Finding the Third Proportional to 10.22 and 11.27

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Solution

The third proportional to 10.22 and 11.27 is: 12.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.22 : 11.27 = 11.27 : x
  2. Step 2: Convert to fraction form
    10.22/11.27 = 11.27/x
  3. Step 3: Cross multiply
    10.22x = 11.27 × 11.27
  4. Step 4: Simplify right side
    10.22x = 126.91
  5. Step 5: Solve for x
    x = 126.91/10.22
  6. Step 6: Final answer
    x = 12.42

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.