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Finding the Third Proportional to 408,958 and 867,110

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Solution

The third proportional to 408,958 and 867,110 is: 1,838,525.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,958 : 867,110 = 867,110 : x
  2. Step 2: Convert to fraction form
    408,958/867,110 = 867,110/x
  3. Step 3: Cross multiply
    408,958x = 867,110 × 867,110
  4. Step 4: Simplify right side
    408,958x = 751,879,752,100
  5. Step 5: Solve for x
    x = 751,879,752,100/408,958
  6. Step 6: Final answer
    x = 1,838,525.60

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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.