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Finding the Third Proportional to 11.25 and 12.25

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Solution

The third proportional to 11.25 and 12.25 is: 13.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.25 : 12.25 = 12.25 : x
  2. Step 2: Convert to fraction form
    11.25/12.25 = 12.25/x
  3. Step 3: Cross multiply
    11.25x = 12.25 × 12.25
  4. Step 4: Simplify right side
    11.25x = 150.06
  5. Step 5: Solve for x
    x = 150.06/11.25
  6. Step 6: Final answer
    x = 13.34

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.