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Finding the Third Proportional to 381,165 and 561,189

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Solution

The third proportional to 381,165 and 561,189 is: 826,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,165 : 561,189 = 561,189 : x
  2. Step 2: Convert to fraction form
    381,165/561,189 = 561,189/x
  3. Step 3: Cross multiply
    381,165x = 561,189 × 561,189
  4. Step 4: Simplify right side
    381,165x = 314,933,093,721
  5. Step 5: Solve for x
    x = 314,933,093,721/381,165
  6. Step 6: Final answer
    x = 826,238.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.