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Finding the Third Proportional to 111,634 and 156,149

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Solution

The third proportional to 111,634 and 156,149 is: 218,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,634 : 156,149 = 156,149 : x
  2. Step 2: Convert to fraction form
    111,634/156,149 = 156,149/x
  3. Step 3: Cross multiply
    111,634x = 156,149 × 156,149
  4. Step 4: Simplify right side
    111,634x = 24,382,510,201
  5. Step 5: Solve for x
    x = 24,382,510,201/111,634
  6. Step 6: Final answer
    x = 218,414.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.