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Finding the Third Proportional to 7.38 and 9.88

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Solution

The third proportional to 7.38 and 9.88 is: 13.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.38 : 9.88 = 9.88 : x
  2. Step 2: Convert to fraction form
    7.38/9.88 = 9.88/x
  3. Step 3: Cross multiply
    7.38x = 9.88 × 9.88
  4. Step 4: Simplify right side
    7.38x = 97.52
  5. Step 5: Solve for x
    x = 97.52/7.38
  6. Step 6: Final answer
    x = 13.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.