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Finding the Third Proportional to 381,163.50 and 561,186

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Solution

The third proportional to 381,163.50 and 561,186 is: 826,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,163.50 : 561,186 = 561,186 : x
  2. Step 2: Convert to fraction form
    381,163.50/561,186 = 561,186/x
  3. Step 3: Cross multiply
    381,163.50x = 561,186 × 561,186
  4. Step 4: Simplify right side
    381,163.50x = 314,929,726,596
  5. Step 5: Solve for x
    x = 314,929,726,596/381,163.50
  6. Step 6: Final answer
    x = 826,232.64

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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.