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Finding the Third Proportional to 394,251 and 617,651

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Solution

The third proportional to 394,251 and 617,651 is: 967,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,251 : 617,651 = 617,651 : x
  2. Step 2: Convert to fraction form
    394,251/617,651 = 617,651/x
  3. Step 3: Cross multiply
    394,251x = 617,651 × 617,651
  4. Step 4: Simplify right side
    394,251x = 381,492,757,801
  5. Step 5: Solve for x
    x = 381,492,757,801/394,251
  6. Step 6: Final answer
    x = 967,639.29

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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.