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Finding the Third Proportional to 396.23 and 771.84

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Solution

The third proportional to 396.23 and 771.84 is: 1,503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.23 : 771.84 = 771.84 : x
  2. Step 2: Convert to fraction form
    396.23/771.84 = 771.84/x
  3. Step 3: Cross multiply
    396.23x = 771.84 × 771.84
  4. Step 4: Simplify right side
    396.23x = 595,742.77
  5. Step 5: Solve for x
    x = 595,742.77/396.23
  6. Step 6: Final answer
    x = 1,503.51

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.