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Finding the Third Proportional to 100,448 and 222,924

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Solution

The third proportional to 100,448 and 222,924 is: 494,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,448 : 222,924 = 222,924 : x
  2. Step 2: Convert to fraction form
    100,448/222,924 = 222,924/x
  3. Step 3: Cross multiply
    100,448x = 222,924 × 222,924
  4. Step 4: Simplify right side
    100,448x = 49,695,109,776
  5. Step 5: Solve for x
    x = 49,695,109,776/100,448
  6. Step 6: Final answer
    x = 494,734.69

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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.