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Finding the Third Proportional to 196,800 and 422,268

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Solution

The third proportional to 196,800 and 422,268 is: 906,048.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,800 : 422,268 = 422,268 : x
  2. Step 2: Convert to fraction form
    196,800/422,268 = 422,268/x
  3. Step 3: Cross multiply
    196,800x = 422,268 × 422,268
  4. Step 4: Simplify right side
    196,800x = 178,310,263,824
  5. Step 5: Solve for x
    x = 178,310,263,824/196,800
  6. Step 6: Final answer
    x = 906,048.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.