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Finding the Third Proportional to 396,839 and 855,886

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Solution

The third proportional to 396,839 and 855,886 is: 1,845,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,839 : 855,886 = 855,886 : x
  2. Step 2: Convert to fraction form
    396,839/855,886 = 855,886/x
  3. Step 3: Cross multiply
    396,839x = 855,886 × 855,886
  4. Step 4: Simplify right side
    396,839x = 732,540,844,996
  5. Step 5: Solve for x
    x = 732,540,844,996/396,839
  6. Step 6: Final answer
    x = 1,845,939.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.