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Finding the Third Proportional to 396.84 and 513.42

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Solution

The third proportional to 396.84 and 513.42 is: 664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.84 : 513.42 = 513.42 : x
  2. Step 2: Convert to fraction form
    396.84/513.42 = 513.42/x
  3. Step 3: Cross multiply
    396.84x = 513.42 × 513.42
  4. Step 4: Simplify right side
    396.84x = 263,602.02
  5. Step 5: Solve for x
    x = 263,602.02/396.84
  6. Step 6: Final answer
    x = 664.25

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.