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Finding the Third Proportional to 396.38 and 431.75

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Solution

The third proportional to 396.38 and 431.75 is: 470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.38 : 431.75 = 431.75 : x
  2. Step 2: Convert to fraction form
    396.38/431.75 = 431.75/x
  3. Step 3: Cross multiply
    396.38x = 431.75 × 431.75
  4. Step 4: Simplify right side
    396.38x = 186,408.06
  5. Step 5: Solve for x
    x = 186,408.06/396.38
  6. Step 6: Final answer
    x = 470.28

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.