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Finding the Third Proportional to 396.56 and 507.94

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Solution

The third proportional to 396.56 and 507.94 is: 650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.56 : 507.94 = 507.94 : x
  2. Step 2: Convert to fraction form
    396.56/507.94 = 507.94/x
  3. Step 3: Cross multiply
    396.56x = 507.94 × 507.94
  4. Step 4: Simplify right side
    396.56x = 258,000.50
  5. Step 5: Solve for x
    x = 258,000.50/396.56
  6. Step 6: Final answer
    x = 650.59

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.