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Finding the Third Proportional to 196,589 and 421,852

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Solution

The third proportional to 196,589 and 421,852 is: 905,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,589 : 421,852 = 421,852 : x
  2. Step 2: Convert to fraction form
    196,589/421,852 = 421,852/x
  3. Step 3: Cross multiply
    196,589x = 421,852 × 421,852
  4. Step 4: Simplify right side
    196,589x = 177,959,109,904
  5. Step 5: Solve for x
    x = 177,959,109,904/196,589
  6. Step 6: Final answer
    x = 905,234.32

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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.