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Finding the Third Proportional to 234.50 and 311.13

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Solution

The third proportional to 234.50 and 311.13 is: 412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.50 : 311.13 = 311.13 : x
  2. Step 2: Convert to fraction form
    234.50/311.13 = 311.13/x
  3. Step 3: Cross multiply
    234.50x = 311.13 × 311.13
  4. Step 4: Simplify right side
    234.50x = 96,798.77
  5. Step 5: Solve for x
    x = 96,798.77/234.50
  6. Step 6: Final answer
    x = 412.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.