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Finding the Third Proportional to 394,138 and 853,647

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Solution

The third proportional to 394,138 and 853,647 is: 1,848,878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,138 : 853,647 = 853,647 : x
  2. Step 2: Convert to fraction form
    394,138/853,647 = 853,647/x
  3. Step 3: Cross multiply
    394,138x = 853,647 × 853,647
  4. Step 4: Simplify right side
    394,138x = 728,713,200,609
  5. Step 5: Solve for x
    x = 728,713,200,609/394,138
  6. Step 6: Final answer
    x = 1,848,878.31

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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.