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Finding the Third Proportional to 394,456 and 862,640

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Solution

The third proportional to 394,456 and 862,640 is: 1,886,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,456 : 862,640 = 862,640 : x
  2. Step 2: Convert to fraction form
    394,456/862,640 = 862,640/x
  3. Step 3: Cross multiply
    394,456x = 862,640 × 862,640
  4. Step 4: Simplify right side
    394,456x = 744,147,769,600
  5. Step 5: Solve for x
    x = 744,147,769,600/394,456
  6. Step 6: Final answer
    x = 1,886,516.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.