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Finding the Third Proportional to 102,354 and 222,189

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Solution

The third proportional to 102,354 and 222,189 is: 482,325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,354 : 222,189 = 222,189 : x
  2. Step 2: Convert to fraction form
    102,354/222,189 = 222,189/x
  3. Step 3: Cross multiply
    102,354x = 222,189 × 222,189
  4. Step 4: Simplify right side
    102,354x = 49,367,951,721
  5. Step 5: Solve for x
    x = 49,367,951,721/102,354
  6. Step 6: Final answer
    x = 482,325.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.