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Finding the Third Proportional to 232,296 and 339,480

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Solution

The third proportional to 232,296 and 339,480 is: 496,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,296 : 339,480 = 339,480 : x
  2. Step 2: Convert to fraction form
    232,296/339,480 = 339,480/x
  3. Step 3: Cross multiply
    232,296x = 339,480 × 339,480
  4. Step 4: Simplify right side
    232,296x = 115,246,670,400
  5. Step 5: Solve for x
    x = 115,246,670,400/232,296
  6. Step 6: Final answer
    x = 496,119.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.