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Finding the Third Proportional to 311.20 and 442.76

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Solution

The third proportional to 311.20 and 442.76 is: 629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.20 : 442.76 = 442.76 : x
  2. Step 2: Convert to fraction form
    311.20/442.76 = 442.76/x
  3. Step 3: Cross multiply
    311.20x = 442.76 × 442.76
  4. Step 4: Simplify right side
    311.20x = 196,034.48
  5. Step 5: Solve for x
    x = 196,034.48/311.20
  6. Step 6: Final answer
    x = 629.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.