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Finding the Third Proportional to 90,610.50 and 192,183

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Solution

The third proportional to 90,610.50 and 192,183 is: 407,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,610.50 : 192,183 = 192,183 : x
  2. Step 2: Convert to fraction form
    90,610.50/192,183 = 192,183/x
  3. Step 3: Cross multiply
    90,610.50x = 192,183 × 192,183
  4. Step 4: Simplify right side
    90,610.50x = 36,934,305,489
  5. Step 5: Solve for x
    x = 36,934,305,489/90,610.50
  6. Step 6: Final answer
    x = 407,616.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.