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Finding the Third Proportional to 318.38 and 375.38

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Solution

The third proportional to 318.38 and 375.38 is: 442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.38 : 375.38 = 375.38 : x
  2. Step 2: Convert to fraction form
    318.38/375.38 = 375.38/x
  3. Step 3: Cross multiply
    318.38x = 375.38 × 375.38
  4. Step 4: Simplify right side
    318.38x = 140,906.39
  5. Step 5: Solve for x
    x = 140,906.39/318.38
  6. Step 6: Final answer
    x = 442.58

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.