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Finding the Third Proportional to 394,498 and 558,206

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Solution

The third proportional to 394,498 and 558,206 is: 789,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,498 : 558,206 = 558,206 : x
  2. Step 2: Convert to fraction form
    394,498/558,206 = 558,206/x
  3. Step 3: Cross multiply
    394,498x = 558,206 × 558,206
  4. Step 4: Simplify right side
    394,498x = 311,593,938,436
  5. Step 5: Solve for x
    x = 311,593,938,436/394,498
  6. Step 6: Final answer
    x = 789,849.22

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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.