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Finding the Third Proportional to 128,163 and 192,181.50

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Solution

The third proportional to 128,163 and 192,181.50 is: 288,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,163 : 192,181.50 = 192,181.50 : x
  2. Step 2: Convert to fraction form
    128,163/192,181.50 = 192,181.50/x
  3. Step 3: Cross multiply
    128,163x = 192,181.50 × 192,181.50
  4. Step 4: Simplify right side
    128,163x = 36,933,728,942.25
  5. Step 5: Solve for x
    x = 36,933,728,942.25/128,163
  6. Step 6: Final answer
    x = 288,177.78

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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.