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Finding the Third Proportional to 100,444 and 222,916

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Solution

The third proportional to 100,444 and 222,916 is: 494,718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,444 : 222,916 = 222,916 : x
  2. Step 2: Convert to fraction form
    100,444/222,916 = 222,916/x
  3. Step 3: Cross multiply
    100,444x = 222,916 × 222,916
  4. Step 4: Simplify right side
    100,444x = 49,691,543,056
  5. Step 5: Solve for x
    x = 49,691,543,056/100,444
  6. Step 6: Final answer
    x = 494,718.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.