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Finding the Third Proportional to 122,918 and 196,218

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Solution

The third proportional to 122,918 and 196,218 is: 313,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,918 : 196,218 = 196,218 : x
  2. Step 2: Convert to fraction form
    122,918/196,218 = 196,218/x
  3. Step 3: Cross multiply
    122,918x = 196,218 × 196,218
  4. Step 4: Simplify right side
    122,918x = 38,501,503,524
  5. Step 5: Solve for x
    x = 38,501,503,524/122,918
  6. Step 6: Final answer
    x = 313,229.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.