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Finding the Third Proportional to 396,837 and 855,882

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Solution

The third proportional to 396,837 and 855,882 is: 1,845,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,837 : 855,882 = 855,882 : x
  2. Step 2: Convert to fraction form
    396,837/855,882 = 855,882/x
  3. Step 3: Cross multiply
    396,837x = 855,882 × 855,882
  4. Step 4: Simplify right side
    396,837x = 732,533,997,924
  5. Step 5: Solve for x
    x = 732,533,997,924/396,837
  6. Step 6: Final answer
    x = 1,845,931.70

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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.