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Finding the Third Proportional to 283,383 and 396,234

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Solution

The third proportional to 283,383 and 396,234 is: 554,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,383 : 396,234 = 396,234 : x
  2. Step 2: Convert to fraction form
    283,383/396,234 = 396,234/x
  3. Step 3: Cross multiply
    283,383x = 396,234 × 396,234
  4. Step 4: Simplify right side
    283,383x = 157,001,382,756
  5. Step 5: Solve for x
    x = 157,001,382,756/283,383
  6. Step 6: Final answer
    x = 554,025.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.