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Finding the Third Proportional to 396.42 and 486.42

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Solution

The third proportional to 396.42 and 486.42 is: 596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.42 : 486.42 = 486.42 : x
  2. Step 2: Convert to fraction form
    396.42/486.42 = 486.42/x
  3. Step 3: Cross multiply
    396.42x = 486.42 × 486.42
  4. Step 4: Simplify right side
    396.42x = 236,606.24
  5. Step 5: Solve for x
    x = 236,606.24/396.42
  6. Step 6: Final answer
    x = 596.85

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.