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Finding the Third Proportional to 311.28 and 475.20

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Solution

The third proportional to 311.28 and 475.20 is: 725.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.28 : 475.20 = 475.20 : x
  2. Step 2: Convert to fraction form
    311.28/475.20 = 475.20/x
  3. Step 3: Cross multiply
    311.28x = 475.20 × 475.20
  4. Step 4: Simplify right side
    311.28x = 225,817.55
  5. Step 5: Solve for x
    x = 225,817.55/311.28
  6. Step 6: Final answer
    x = 725.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.