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Finding the Third Proportional to 128,256 and 273,936

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Solution

The third proportional to 128,256 and 273,936 is: 585,087.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,256 : 273,936 = 273,936 : x
  2. Step 2: Convert to fraction form
    128,256/273,936 = 273,936/x
  3. Step 3: Cross multiply
    128,256x = 273,936 × 273,936
  4. Step 4: Simplify right side
    128,256x = 75,040,932,096
  5. Step 5: Solve for x
    x = 75,040,932,096/128,256
  6. Step 6: Final answer
    x = 585,087.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.