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Finding the Third Proportional to 391,849 and 800,302

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Solution

The third proportional to 391,849 and 800,302 is: 1,634,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,849 : 800,302 = 800,302 : x
  2. Step 2: Convert to fraction form
    391,849/800,302 = 800,302/x
  3. Step 3: Cross multiply
    391,849x = 800,302 × 800,302
  4. Step 4: Simplify right side
    391,849x = 640,483,291,204
  5. Step 5: Solve for x
    x = 640,483,291,204/391,849
  6. Step 6: Final answer
    x = 1,634,515.57

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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.