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Finding the Third Proportional to 338,843 and 451,728

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Solution

The third proportional to 338,843 and 451,728 is: 602,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,843 : 451,728 = 451,728 : x
  2. Step 2: Convert to fraction form
    338,843/451,728 = 451,728/x
  3. Step 3: Cross multiply
    338,843x = 451,728 × 451,728
  4. Step 4: Simplify right side
    338,843x = 204,058,185,984
  5. Step 5: Solve for x
    x = 204,058,185,984/338,843
  6. Step 6: Final answer
    x = 602,220.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.