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Finding the Third Proportional to 128,162 and 192,180

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Solution

The third proportional to 128,162 and 192,180 is: 288,175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,162 : 192,180 = 192,180 : x
  2. Step 2: Convert to fraction form
    128,162/192,180 = 192,180/x
  3. Step 3: Cross multiply
    128,162x = 192,180 × 192,180
  4. Step 4: Simplify right side
    128,162x = 36,933,152,400
  5. Step 5: Solve for x
    x = 36,933,152,400/128,162
  6. Step 6: Final answer
    x = 288,175.53

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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.