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Finding the Third Proportional to 312,638 and 636,325

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Solution

The third proportional to 312,638 and 636,325 is: 1,295,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,638 : 636,325 = 636,325 : x
  2. Step 2: Convert to fraction form
    312,638/636,325 = 636,325/x
  3. Step 3: Cross multiply
    312,638x = 636,325 × 636,325
  4. Step 4: Simplify right side
    312,638x = 404,909,505,625
  5. Step 5: Solve for x
    x = 404,909,505,625/312,638
  6. Step 6: Final answer
    x = 1,295,138.48

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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.