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Finding the Third Proportional to 312,648 and 636,352

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Solution

The third proportional to 312,648 and 636,352 is: 1,295,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,648 : 636,352 = 636,352 : x
  2. Step 2: Convert to fraction form
    312,648/636,352 = 636,352/x
  3. Step 3: Cross multiply
    312,648x = 636,352 × 636,352
  4. Step 4: Simplify right side
    312,648x = 404,943,867,904
  5. Step 5: Solve for x
    x = 404,943,867,904/312,648
  6. Step 6: Final answer
    x = 1,295,206.97

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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.