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Finding the Third Proportional to 394,514 and 558,228

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Solution

The third proportional to 394,514 and 558,228 is: 789,879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,514 : 558,228 = 558,228 : x
  2. Step 2: Convert to fraction form
    394,514/558,228 = 558,228/x
  3. Step 3: Cross multiply
    394,514x = 558,228 × 558,228
  4. Step 4: Simplify right side
    394,514x = 311,618,499,984
  5. Step 5: Solve for x
    x = 311,618,499,984/394,514
  6. Step 6: Final answer
    x = 789,879.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.