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Finding the Third Proportional to 199,832 and 421,968

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Solution

The third proportional to 199,832 and 421,968 is: 891,033.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,832 : 421,968 = 421,968 : x
  2. Step 2: Convert to fraction form
    199,832/421,968 = 421,968/x
  3. Step 3: Cross multiply
    199,832x = 421,968 × 421,968
  4. Step 4: Simplify right side
    199,832x = 178,056,993,024
  5. Step 5: Solve for x
    x = 178,056,993,024/199,832
  6. Step 6: Final answer
    x = 891,033.43

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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.