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Finding the Third Proportional to 128,758 and 192,390

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Solution

The third proportional to 128,758 and 192,390 is: 287,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,758 : 192,390 = 192,390 : x
  2. Step 2: Convert to fraction form
    128,758/192,390 = 192,390/x
  3. Step 3: Cross multiply
    128,758x = 192,390 × 192,390
  4. Step 4: Simplify right side
    128,758x = 37,013,912,100
  5. Step 5: Solve for x
    x = 37,013,912,100/128,758
  6. Step 6: Final answer
    x = 287,468.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.