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Finding the Third Proportional to 199,822 and 421,948

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Solution

The third proportional to 199,822 and 421,948 is: 890,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,822 : 421,948 = 421,948 : x
  2. Step 2: Convert to fraction form
    199,822/421,948 = 421,948/x
  3. Step 3: Cross multiply
    199,822x = 421,948 × 421,948
  4. Step 4: Simplify right side
    199,822x = 178,040,114,704
  5. Step 5: Solve for x
    x = 178,040,114,704/199,822
  6. Step 6: Final answer
    x = 890,993.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.