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Finding the Third Proportional to 121,880 and 194,626

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Solution

The third proportional to 121,880 and 194,626 is: 310,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,880 : 194,626 = 194,626 : x
  2. Step 2: Convert to fraction form
    121,880/194,626 = 194,626/x
  3. Step 3: Cross multiply
    121,880x = 194,626 × 194,626
  4. Step 4: Simplify right side
    121,880x = 37,879,279,876
  5. Step 5: Solve for x
    x = 37,879,279,876/121,880
  6. Step 6: Final answer
    x = 310,791.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.