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Finding the Third Proportional to 315,208 and 682,920

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Solution

The third proportional to 315,208 and 682,920 is: 1,479,593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,208 : 682,920 = 682,920 : x
  2. Step 2: Convert to fraction form
    315,208/682,920 = 682,920/x
  3. Step 3: Cross multiply
    315,208x = 682,920 × 682,920
  4. Step 4: Simplify right side
    315,208x = 466,379,726,400
  5. Step 5: Solve for x
    x = 466,379,726,400/315,208
  6. Step 6: Final answer
    x = 1,479,593.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.