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Finding the Third Proportional to 394,516 and 867,608

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Solution

The third proportional to 394,516 and 867,608 is: 1,908,018.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,516 : 867,608 = 867,608 : x
  2. Step 2: Convert to fraction form
    394,516/867,608 = 867,608/x
  3. Step 3: Cross multiply
    394,516x = 867,608 × 867,608
  4. Step 4: Simplify right side
    394,516x = 752,743,641,664
  5. Step 5: Solve for x
    x = 752,743,641,664/394,516
  6. Step 6: Final answer
    x = 1,908,018.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.