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Finding the Third Proportional to 394,842 and 635,868

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Solution

The third proportional to 394,842 and 635,868 is: 1,024,025.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,842 : 635,868 = 635,868 : x
  2. Step 2: Convert to fraction form
    394,842/635,868 = 635,868/x
  3. Step 3: Cross multiply
    394,842x = 635,868 × 635,868
  4. Step 4: Simplify right side
    394,842x = 404,328,113,424
  5. Step 5: Solve for x
    x = 404,328,113,424/394,842
  6. Step 6: Final answer
    x = 1,024,025.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.