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Finding the Third Proportional to 311.75 and 764.38

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Solution

The third proportional to 311.75 and 764.38 is: 1,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.75 : 764.38 = 764.38 : x
  2. Step 2: Convert to fraction form
    311.75/764.38 = 764.38/x
  3. Step 3: Cross multiply
    311.75x = 764.38 × 764.38
  4. Step 4: Simplify right side
    311.75x = 584,269.14
  5. Step 5: Solve for x
    x = 584,269.14/311.75
  6. Step 6: Final answer
    x = 1,874.16

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.