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Finding the Third Proportional to 192,121.50 and 276,720

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Solution

The third proportional to 192,121.50 and 276,720 is: 398,570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,121.50 : 276,720 = 276,720 : x
  2. Step 2: Convert to fraction form
    192,121.50/276,720 = 276,720/x
  3. Step 3: Cross multiply
    192,121.50x = 276,720 × 276,720
  4. Step 4: Simplify right side
    192,121.50x = 76,573,958,400
  5. Step 5: Solve for x
    x = 76,573,958,400/192,121.50
  6. Step 6: Final answer
    x = 398,570.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.