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Finding the Third Proportional to 312,448 and 681,920

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Solution

The third proportional to 312,448 and 681,920 is: 1,488,295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,448 : 681,920 = 681,920 : x
  2. Step 2: Convert to fraction form
    312,448/681,920 = 681,920/x
  3. Step 3: Cross multiply
    312,448x = 681,920 × 681,920
  4. Step 4: Simplify right side
    312,448x = 465,014,886,400
  5. Step 5: Solve for x
    x = 465,014,886,400/312,448
  6. Step 6: Final answer
    x = 1,488,295.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.