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Finding the Third Proportional to 396.70 and 764.30

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Solution

The third proportional to 396.70 and 764.30 is: 1,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.70 : 764.30 = 764.30 : x
  2. Step 2: Convert to fraction form
    396.70/764.30 = 764.30/x
  3. Step 3: Cross multiply
    396.70x = 764.30 × 764.30
  4. Step 4: Simplify right side
    396.70x = 584,149.71
  5. Step 5: Solve for x
    x = 584,149.71/396.70
  6. Step 6: Final answer
    x = 1,472.51

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.