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Finding the Third Proportional to 192,183 and 409,311

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Solution

The third proportional to 192,183 and 409,311 is: 871,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,183 : 409,311 = 409,311 : x
  2. Step 2: Convert to fraction form
    192,183/409,311 = 409,311/x
  3. Step 3: Cross multiply
    192,183x = 409,311 × 409,311
  4. Step 4: Simplify right side
    192,183x = 167,535,494,721
  5. Step 5: Solve for x
    x = 167,535,494,721/192,183
  6. Step 6: Final answer
    x = 871,749.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.