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Finding the Third Proportional to 80,128 and 120,192

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Solution

The third proportional to 80,128 and 120,192 is: 180,288

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,128 : 120,192 = 120,192 : x
  2. Step 2: Convert to fraction form
    80,128/120,192 = 120,192/x
  3. Step 3: Cross multiply
    80,128x = 120,192 × 120,192
  4. Step 4: Simplify right side
    80,128x = 14,446,116,864
  5. Step 5: Solve for x
    x = 14,446,116,864/80,128
  6. Step 6: Final answer
    x = 180,288

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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.