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Finding the Third Proportional to 128,578 and 192,741

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Solution

The third proportional to 128,578 and 192,741 is: 288,922.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,578 : 192,741 = 192,741 : x
  2. Step 2: Convert to fraction form
    128,578/192,741 = 192,741/x
  3. Step 3: Cross multiply
    128,578x = 192,741 × 192,741
  4. Step 4: Simplify right side
    128,578x = 37,149,093,081
  5. Step 5: Solve for x
    x = 37,149,093,081/128,578
  6. Step 6: Final answer
    x = 288,922.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.