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Finding the Third Proportional to 128 and 192

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Solution

The third proportional to 128 and 192 is: 288

Step by Step Solution

  1. Step 1: Write the proportion equation
    128 : 192 = 192 : x
  2. Step 2: Convert to fraction form
    128/192 = 192/x
  3. Step 3: Cross multiply
    128x = 192 × 192
  4. Step 4: Simplify right side
    128x = 36,864
  5. Step 5: Solve for x
    x = 36,864/128
  6. Step 6: Final answer
    x = 288

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Find third proportional to 192 and 288
1.5x scale

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.