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Finding the Third Proportional to 408,966 and 867,126

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Solution

The third proportional to 408,966 and 867,126 is: 1,838,557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,966 : 867,126 = 867,126 : x
  2. Step 2: Convert to fraction form
    408,966/867,126 = 867,126/x
  3. Step 3: Cross multiply
    408,966x = 867,126 × 867,126
  4. Step 4: Simplify right side
    408,966x = 751,907,499,876
  5. Step 5: Solve for x
    x = 751,907,499,876/408,966
  6. Step 6: Final answer
    x = 1,838,557.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.