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Finding the Third Proportional to 221,736 and 332,261.50

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Solution

The third proportional to 221,736 and 332,261.50 is: 497,879.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,736 : 332,261.50 = 332,261.50 : x
  2. Step 2: Convert to fraction form
    221,736/332,261.50 = 332,261.50/x
  3. Step 3: Cross multiply
    221,736x = 332,261.50 × 332,261.50
  4. Step 4: Simplify right side
    221,736x = 110,397,704,382.25
  5. Step 5: Solve for x
    x = 110,397,704,382.25/221,736
  6. Step 6: Final answer
    x = 497,879.03

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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.