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Finding the Third Proportional to 396,580 and 819,836

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Solution

The third proportional to 396,580 and 819,836 is: 1,694,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,580 : 819,836 = 819,836 : x
  2. Step 2: Convert to fraction form
    396,580/819,836 = 819,836/x
  3. Step 3: Cross multiply
    396,580x = 819,836 × 819,836
  4. Step 4: Simplify right side
    396,580x = 672,131,066,896
  5. Step 5: Solve for x
    x = 672,131,066,896/396,580
  6. Step 6: Final answer
    x = 1,694,818.36

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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.