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Finding the Third Proportional to 311.82 and 474.13

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Solution

The third proportional to 311.82 and 474.13 is: 720.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.82 : 474.13 = 474.13 : x
  2. Step 2: Convert to fraction form
    311.82/474.13 = 474.13/x
  3. Step 3: Cross multiply
    311.82x = 474.13 × 474.13
  4. Step 4: Simplify right side
    311.82x = 224,803.78
  5. Step 5: Solve for x
    x = 224,803.78/311.82
  6. Step 6: Final answer
    x = 720.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.