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Finding the Third Proportional to 192,185 and 409,315

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Solution

The third proportional to 192,185 and 409,315 is: 871,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,185 : 409,315 = 409,315 : x
  2. Step 2: Convert to fraction form
    192,185/409,315 = 409,315/x
  3. Step 3: Cross multiply
    192,185x = 409,315 × 409,315
  4. Step 4: Simplify right side
    192,185x = 167,538,769,225
  5. Step 5: Solve for x
    x = 167,538,769,225/192,185
  6. Step 6: Final answer
    x = 871,757.78

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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.