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Finding the Third Proportional to 6.42 and 9.38

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Solution

The third proportional to 6.42 and 9.38 is: 13.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.42 : 9.38 = 9.38 : x
  2. Step 2: Convert to fraction form
    6.42/9.38 = 9.38/x
  3. Step 3: Cross multiply
    6.42x = 9.38 × 9.38
  4. Step 4: Simplify right side
    6.42x = 87.90
  5. Step 5: Solve for x
    x = 87.90/6.42
  6. Step 6: Final answer
    x = 13.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.