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Finding the Third Proportional to 391,837 and 800,279

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Solution

The third proportional to 391,837 and 800,279 is: 1,634,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,837 : 800,279 = 800,279 : x
  2. Step 2: Convert to fraction form
    391,837/800,279 = 800,279/x
  3. Step 3: Cross multiply
    391,837x = 800,279 × 800,279
  4. Step 4: Simplify right side
    391,837x = 640,446,477,841
  5. Step 5: Solve for x
    x = 640,446,477,841/391,837
  6. Step 6: Final answer
    x = 1,634,471.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.