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Finding the Third Proportional to 9.38 and 13.88

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Solution

The third proportional to 9.38 and 13.88 is: 20.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.38 : 13.88 = 13.88 : x
  2. Step 2: Convert to fraction form
    9.38/13.88 = 13.88/x
  3. Step 3: Cross multiply
    9.38x = 13.88 × 13.88
  4. Step 4: Simplify right side
    9.38x = 192.52
  5. Step 5: Solve for x
    x = 192.52/9.38
  6. Step 6: Final answer
    x = 20.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.