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Finding the Third Proportional to 312,638 and 636,326

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Solution

The third proportional to 312,638 and 636,326 is: 1,295,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,638 : 636,326 = 636,326 : x
  2. Step 2: Convert to fraction form
    312,638/636,326 = 636,326/x
  3. Step 3: Cross multiply
    312,638x = 636,326 × 636,326
  4. Step 4: Simplify right side
    312,638x = 404,910,778,276
  5. Step 5: Solve for x
    x = 404,910,778,276/312,638
  6. Step 6: Final answer
    x = 1,295,142.56

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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.