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Finding the Third Proportional to 396.84 and 613.27

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Solution

The third proportional to 396.84 and 613.27 is: 947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.84 : 613.27 = 613.27 : x
  2. Step 2: Convert to fraction form
    396.84/613.27 = 613.27/x
  3. Step 3: Cross multiply
    396.84x = 613.27 × 613.27
  4. Step 4: Simplify right side
    396.84x = 376,094.73
  5. Step 5: Solve for x
    x = 376,094.73/396.84
  6. Step 6: Final answer
    x = 947.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.