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Finding the Third Proportional to 192,790 and 408,907

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Solution

The third proportional to 192,790 and 408,907 is: 867,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,790 : 408,907 = 408,907 : x
  2. Step 2: Convert to fraction form
    192,790/408,907 = 408,907/x
  3. Step 3: Cross multiply
    192,790x = 408,907 × 408,907
  4. Step 4: Simplify right side
    192,790x = 167,204,934,649
  5. Step 5: Solve for x
    x = 167,204,934,649/192,790
  6. Step 6: Final answer
    x = 867,290.50

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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.