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Finding the Third Proportional to 312,741 and 682,839

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Solution

The third proportional to 312,741 and 682,839 is: 1,490,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,741 : 682,839 = 682,839 : x
  2. Step 2: Convert to fraction form
    312,741/682,839 = 682,839/x
  3. Step 3: Cross multiply
    312,741x = 682,839 × 682,839
  4. Step 4: Simplify right side
    312,741x = 466,269,099,921
  5. Step 5: Solve for x
    x = 466,269,099,921/312,741
  6. Step 6: Final answer
    x = 1,490,911.33

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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.