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Finding the Third Proportional to 111,702 and 239,172

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Solution

The third proportional to 111,702 and 239,172 is: 512,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,702 : 239,172 = 239,172 : x
  2. Step 2: Convert to fraction form
    111,702/239,172 = 239,172/x
  3. Step 3: Cross multiply
    111,702x = 239,172 × 239,172
  4. Step 4: Simplify right side
    111,702x = 57,203,245,584
  5. Step 5: Solve for x
    x = 57,203,245,584/111,702
  6. Step 6: Final answer
    x = 512,105.83

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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.