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Finding the Third Proportional to 123,800 and 192,168

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Solution

The third proportional to 123,800 and 192,168 is: 298,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,800 : 192,168 = 192,168 : x
  2. Step 2: Convert to fraction form
    123,800/192,168 = 192,168/x
  3. Step 3: Cross multiply
    123,800x = 192,168 × 192,168
  4. Step 4: Simplify right side
    123,800x = 36,928,540,224
  5. Step 5: Solve for x
    x = 36,928,540,224/123,800
  6. Step 6: Final answer
    x = 298,291.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.