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Finding the Third Proportional to 396.38 and 817.88

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Solution

The third proportional to 396.38 and 817.88 is: 1,687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.38 : 817.88 = 817.88 : x
  2. Step 2: Convert to fraction form
    396.38/817.88 = 817.88/x
  3. Step 3: Cross multiply
    396.38x = 817.88 × 817.88
  4. Step 4: Simplify right side
    396.38x = 668,919.52
  5. Step 5: Solve for x
    x = 668,919.52/396.38
  6. Step 6: Final answer
    x = 1,687.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.