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Finding the Third Proportional to 234.30 and 333.76

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Solution

The third proportional to 234.30 and 333.76 is: 475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.30 : 333.76 = 333.76 : x
  2. Step 2: Convert to fraction form
    234.30/333.76 = 333.76/x
  3. Step 3: Cross multiply
    234.30x = 333.76 × 333.76
  4. Step 4: Simplify right side
    234.30x = 111,394.28
  5. Step 5: Solve for x
    x = 111,394.28/234.30
  6. Step 6: Final answer
    x = 475.44

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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.