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Finding the Third Proportional to 11.25 and 14.38

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Solution

The third proportional to 11.25 and 14.38 is: 18.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.25 : 14.38 = 14.38 : x
  2. Step 2: Convert to fraction form
    11.25/14.38 = 14.38/x
  3. Step 3: Cross multiply
    11.25x = 14.38 × 14.38
  4. Step 4: Simplify right side
    11.25x = 206.64
  5. Step 5: Solve for x
    x = 206.64/11.25
  6. Step 6: Final answer
    x = 18.37

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.