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Finding the Third Proportional to 100,952 and 222,208

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Solution

The third proportional to 100,952 and 222,208 is: 489,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,952 : 222,208 = 222,208 : x
  2. Step 2: Convert to fraction form
    100,952/222,208 = 222,208/x
  3. Step 3: Cross multiply
    100,952x = 222,208 × 222,208
  4. Step 4: Simplify right side
    100,952x = 49,376,395,264
  5. Step 5: Solve for x
    x = 49,376,395,264/100,952
  6. Step 6: Final answer
    x = 489,107.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.