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Finding the Third Proportional to 196,508 and 421,055

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Solution

The third proportional to 196,508 and 421,055 is: 902,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,508 : 421,055 = 421,055 : x
  2. Step 2: Convert to fraction form
    196,508/421,055 = 421,055/x
  3. Step 3: Cross multiply
    196,508x = 421,055 × 421,055
  4. Step 4: Simplify right side
    196,508x = 177,287,313,025
  5. Step 5: Solve for x
    x = 177,287,313,025/196,508
  6. Step 6: Final answer
    x = 902,188.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.