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Finding the Third Proportional to 103,622 and 222,379

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Solution

The third proportional to 103,622 and 222,379 is: 477,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,622 : 222,379 = 222,379 : x
  2. Step 2: Convert to fraction form
    103,622/222,379 = 222,379/x
  3. Step 3: Cross multiply
    103,622x = 222,379 × 222,379
  4. Step 4: Simplify right side
    103,622x = 49,452,419,641
  5. Step 5: Solve for x
    x = 49,452,419,641/103,622
  6. Step 6: Final answer
    x = 477,238.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.