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Finding the Third Proportional to 394,530 and 610,209

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Solution

The third proportional to 394,530 and 610,209 is: 943,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,530 : 610,209 = 610,209 : x
  2. Step 2: Convert to fraction form
    394,530/610,209 = 610,209/x
  3. Step 3: Cross multiply
    394,530x = 610,209 × 610,209
  4. Step 4: Simplify right side
    394,530x = 372,355,023,681
  5. Step 5: Solve for x
    x = 372,355,023,681/394,530
  6. Step 6: Final answer
    x = 943,793.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.