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Finding the Third Proportional to 311.75 and 362.75

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Solution

The third proportional to 311.75 and 362.75 is: 422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.75 : 362.75 = 362.75 : x
  2. Step 2: Convert to fraction form
    311.75/362.75 = 362.75/x
  3. Step 3: Cross multiply
    311.75x = 362.75 × 362.75
  4. Step 4: Simplify right side
    311.75x = 131,587.56
  5. Step 5: Solve for x
    x = 131,587.56/311.75
  6. Step 6: Final answer
    x = 422.09

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.