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Finding the Third Proportional to 115,728 and 251,949

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Solution

The third proportional to 115,728 and 251,949 is: 548,512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,728 : 251,949 = 251,949 : x
  2. Step 2: Convert to fraction form
    115,728/251,949 = 251,949/x
  3. Step 3: Cross multiply
    115,728x = 251,949 × 251,949
  4. Step 4: Simplify right side
    115,728x = 63,478,298,601
  5. Step 5: Solve for x
    x = 63,478,298,601/115,728
  6. Step 6: Final answer
    x = 548,512.88

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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.