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Finding the Third Proportional to 396,579 and 819,834

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Solution

The third proportional to 396,579 and 819,834 is: 1,694,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,579 : 819,834 = 819,834 : x
  2. Step 2: Convert to fraction form
    396,579/819,834 = 819,834/x
  3. Step 3: Cross multiply
    396,579x = 819,834 × 819,834
  4. Step 4: Simplify right side
    396,579x = 672,127,787,556
  5. Step 5: Solve for x
    x = 672,127,787,556/396,579
  6. Step 6: Final answer
    x = 1,694,814.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.