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Finding the Third Proportional to 391,845 and 800,292

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Solution

The third proportional to 391,845 and 800,292 is: 1,634,491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,845 : 800,292 = 800,292 : x
  2. Step 2: Convert to fraction form
    391,845/800,292 = 800,292/x
  3. Step 3: Cross multiply
    391,845x = 800,292 × 800,292
  4. Step 4: Simplify right side
    391,845x = 640,467,285,264
  5. Step 5: Solve for x
    x = 640,467,285,264/391,845
  6. Step 6: Final answer
    x = 1,634,491.41

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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.