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Finding the Third Proportional to 196,626 and 421,272

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Solution

The third proportional to 196,626 and 421,272 is: 902,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,626 : 421,272 = 421,272 : x
  2. Step 2: Convert to fraction form
    196,626/421,272 = 421,272/x
  3. Step 3: Cross multiply
    196,626x = 421,272 × 421,272
  4. Step 4: Simplify right side
    196,626x = 177,470,097,984
  5. Step 5: Solve for x
    x = 177,470,097,984/196,626
  6. Step 6: Final answer
    x = 902,576.96

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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.