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Finding the Third Proportional to 232.78 and 348.09

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Solution

The third proportional to 232.78 and 348.09 is: 520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.78 : 348.09 = 348.09 : x
  2. Step 2: Convert to fraction form
    232.78/348.09 = 348.09/x
  3. Step 3: Cross multiply
    232.78x = 348.09 × 348.09
  4. Step 4: Simplify right side
    232.78x = 121,169.26
  5. Step 5: Solve for x
    x = 121,169.26/232.78
  6. Step 6: Final answer
    x = 520.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.