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Finding the Third Proportional to 111,940 and 155,149

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Solution

The third proportional to 111,940 and 155,149 is: 215,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,940 : 155,149 = 155,149 : x
  2. Step 2: Convert to fraction form
    111,940/155,149 = 155,149/x
  3. Step 3: Cross multiply
    111,940x = 155,149 × 155,149
  4. Step 4: Simplify right side
    111,940x = 24,071,212,201
  5. Step 5: Solve for x
    x = 24,071,212,201/111,940
  6. Step 6: Final answer
    x = 215,036.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.