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Finding the Third Proportional to 120.38 and 234.75

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Solution

The third proportional to 120.38 and 234.75 is: 457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.38 : 234.75 = 234.75 : x
  2. Step 2: Convert to fraction form
    120.38/234.75 = 234.75/x
  3. Step 3: Cross multiply
    120.38x = 234.75 × 234.75
  4. Step 4: Simplify right side
    120.38x = 55,107.56
  5. Step 5: Solve for x
    x = 55,107.56/120.38
  6. Step 6: Final answer
    x = 457.80

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.