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Finding the Third Proportional to 157,198 and 222,218

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Solution

The third proportional to 157,198 and 222,218 is: 314,131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,198 : 222,218 = 222,218 : x
  2. Step 2: Convert to fraction form
    157,198/222,218 = 222,218/x
  3. Step 3: Cross multiply
    157,198x = 222,218 × 222,218
  4. Step 4: Simplify right side
    157,198x = 49,380,839,524
  5. Step 5: Solve for x
    x = 49,380,839,524/157,198
  6. Step 6: Final answer
    x = 314,131.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.