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Finding the Third Proportional to 394,661 and 855,850

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Solution

The third proportional to 394,661 and 855,850 is: 1,855,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,661 : 855,850 = 855,850 : x
  2. Step 2: Convert to fraction form
    394,661/855,850 = 855,850/x
  3. Step 3: Cross multiply
    394,661x = 855,850 × 855,850
  4. Step 4: Simplify right side
    394,661x = 732,479,222,500
  5. Step 5: Solve for x
    x = 732,479,222,500/394,661
  6. Step 6: Final answer
    x = 1,855,970.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.