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Finding the Third Proportional to 196,736 and 422,146

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Solution

The third proportional to 196,736 and 422,146 is: 905,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,736 : 422,146 = 422,146 : x
  2. Step 2: Convert to fraction form
    196,736/422,146 = 422,146/x
  3. Step 3: Cross multiply
    196,736x = 422,146 × 422,146
  4. Step 4: Simplify right side
    196,736x = 178,207,245,316
  5. Step 5: Solve for x
    x = 178,207,245,316/196,736
  6. Step 6: Final answer
    x = 905,819.20

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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.