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Finding the Third Proportional to 396,882 and 869,764

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Solution

The third proportional to 396,882 and 869,764 is: 1,906,081.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,882 : 869,764 = 869,764 : x
  2. Step 2: Convert to fraction form
    396,882/869,764 = 869,764/x
  3. Step 3: Cross multiply
    396,882x = 869,764 × 869,764
  4. Step 4: Simplify right side
    396,882x = 756,489,415,696
  5. Step 5: Solve for x
    x = 756,489,415,696/396,882
  6. Step 6: Final answer
    x = 1,906,081.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.