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Finding the Third Proportional to 192,198 and 420,597

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Solution

The third proportional to 192,198 and 420,597 is: 920,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,198 : 420,597 = 420,597 : x
  2. Step 2: Convert to fraction form
    192,198/420,597 = 420,597/x
  3. Step 3: Cross multiply
    192,198x = 420,597 × 420,597
  4. Step 4: Simplify right side
    192,198x = 176,901,836,409
  5. Step 5: Solve for x
    x = 176,901,836,409/192,198
  6. Step 6: Final answer
    x = 920,414.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.