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Finding the Third Proportional to 221,188 and 331,782

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Solution

The third proportional to 221,188 and 331,782 is: 497,673

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,188 : 331,782 = 331,782 : x
  2. Step 2: Convert to fraction form
    221,188/331,782 = 331,782/x
  3. Step 3: Cross multiply
    221,188x = 331,782 × 331,782
  4. Step 4: Simplify right side
    221,188x = 110,079,295,524
  5. Step 5: Solve for x
    x = 110,079,295,524/221,188
  6. Step 6: Final answer
    x = 497,673

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.