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Finding the Third Proportional to 312,674 and 636,390

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Solution

The third proportional to 312,674 and 636,390 is: 1,295,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,674 : 636,390 = 636,390 : x
  2. Step 2: Convert to fraction form
    312,674/636,390 = 636,390/x
  3. Step 3: Cross multiply
    312,674x = 636,390 × 636,390
  4. Step 4: Simplify right side
    312,674x = 404,992,232,100
  5. Step 5: Solve for x
    x = 404,992,232,100/312,674
  6. Step 6: Final answer
    x = 1,295,253.95

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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.