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Finding the Third Proportional to 206,571 and 431,697

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Solution

The third proportional to 206,571 and 431,697 is: 902,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,571 : 431,697 = 431,697 : x
  2. Step 2: Convert to fraction form
    206,571/431,697 = 431,697/x
  3. Step 3: Cross multiply
    206,571x = 431,697 × 431,697
  4. Step 4: Simplify right side
    206,571x = 186,362,299,809
  5. Step 5: Solve for x
    x = 186,362,299,809/206,571
  6. Step 6: Final answer
    x = 902,170.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.