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Finding the Third Proportional to 199,728 and 434,721

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Solution

The third proportional to 199,728 and 434,721 is: 946,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,728 : 434,721 = 434,721 : x
  2. Step 2: Convert to fraction form
    199,728/434,721 = 434,721/x
  3. Step 3: Cross multiply
    199,728x = 434,721 × 434,721
  4. Step 4: Simplify right side
    199,728x = 188,982,347,841
  5. Step 5: Solve for x
    x = 188,982,347,841/199,728
  6. Step 6: Final answer
    x = 946,198.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.