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Finding the Third Proportional to 199,816 and 421,936

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Solution

The third proportional to 199,816 and 421,936 is: 890,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,816 : 421,936 = 421,936 : x
  2. Step 2: Convert to fraction form
    199,816/421,936 = 421,936/x
  3. Step 3: Cross multiply
    199,816x = 421,936 × 421,936
  4. Step 4: Simplify right side
    199,816x = 178,029,988,096
  5. Step 5: Solve for x
    x = 178,029,988,096/199,816
  6. Step 6: Final answer
    x = 890,969.63

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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.