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Finding the Third Proportional to 111,072 and 239,843

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Solution

The third proportional to 111,072 and 239,843 is: 517,904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,072 : 239,843 = 239,843 : x
  2. Step 2: Convert to fraction form
    111,072/239,843 = 239,843/x
  3. Step 3: Cross multiply
    111,072x = 239,843 × 239,843
  4. Step 4: Simplify right side
    111,072x = 57,524,664,649
  5. Step 5: Solve for x
    x = 57,524,664,649/111,072
  6. Step 6: Final answer
    x = 517,904.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.