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Finding the Third Proportional to 253,839 and 336,949

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Solution

The third proportional to 253,839 and 336,949 is: 447,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,839 : 336,949 = 336,949 : x
  2. Step 2: Convert to fraction form
    253,839/336,949 = 336,949/x
  3. Step 3: Cross multiply
    253,839x = 336,949 × 336,949
  4. Step 4: Simplify right side
    253,839x = 113,534,628,601
  5. Step 5: Solve for x
    x = 113,534,628,601/253,839
  6. Step 6: Final answer
    x = 447,270.23

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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.