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Finding the Third Proportional to 394,306 and 617,737

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Solution

The third proportional to 394,306 and 617,737 is: 967,773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,306 : 617,737 = 617,737 : x
  2. Step 2: Convert to fraction form
    394,306/617,737 = 617,737/x
  3. Step 3: Cross multiply
    394,306x = 617,737 × 617,737
  4. Step 4: Simplify right side
    394,306x = 381,599,001,169
  5. Step 5: Solve for x
    x = 381,599,001,169/394,306
  6. Step 6: Final answer
    x = 967,773.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.