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Finding the Third Proportional to 394,668 and 855,864

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Solution

The third proportional to 394,668 and 855,864 is: 1,855,998.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,668 : 855,864 = 855,864 : x
  2. Step 2: Convert to fraction form
    394,668/855,864 = 855,864/x
  3. Step 3: Cross multiply
    394,668x = 855,864 × 855,864
  4. Step 4: Simplify right side
    394,668x = 732,503,186,496
  5. Step 5: Solve for x
    x = 732,503,186,496/394,668
  6. Step 6: Final answer
    x = 1,855,998.43

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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.