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Finding the Third Proportional to 199,728 and 421,992

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Solution

The third proportional to 199,728 and 421,992 is: 891,598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,728 : 421,992 = 421,992 : x
  2. Step 2: Convert to fraction form
    199,728/421,992 = 421,992/x
  3. Step 3: Cross multiply
    199,728x = 421,992 × 421,992
  4. Step 4: Simplify right side
    199,728x = 178,077,248,064
  5. Step 5: Solve for x
    x = 178,077,248,064/199,728
  6. Step 6: Final answer
    x = 891,598.81

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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.