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Finding the Third Proportional to 196,517 and 421,074

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Solution

The third proportional to 196,517 and 421,074 is: 902,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,517 : 421,074 = 421,074 : x
  2. Step 2: Convert to fraction form
    196,517/421,074 = 421,074/x
  3. Step 3: Cross multiply
    196,517x = 421,074 × 421,074
  4. Step 4: Simplify right side
    196,517x = 177,303,313,476
  5. Step 5: Solve for x
    x = 177,303,313,476/196,517
  6. Step 6: Final answer
    x = 902,228.88

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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.