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Finding the Third Proportional to 207,012 and 421,635

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Solution

The third proportional to 207,012 and 421,635 is: 858,771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,012 : 421,635 = 421,635 : x
  2. Step 2: Convert to fraction form
    207,012/421,635 = 421,635/x
  3. Step 3: Cross multiply
    207,012x = 421,635 × 421,635
  4. Step 4: Simplify right side
    207,012x = 177,776,073,225
  5. Step 5: Solve for x
    x = 177,776,073,225/207,012
  6. Step 6: Final answer
    x = 858,771.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.