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Finding the Third Proportional to 221,056.50 and 331,243.13

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Solution

The third proportional to 221,056.50 and 331,243.13 is: 496,352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,056.50 : 331,243.13 = 331,243.13 : x
  2. Step 2: Convert to fraction form
    221,056.50/331,243.13 = 331,243.13/x
  3. Step 3: Cross multiply
    221,056.50x = 331,243.13 × 331,243.13
  4. Step 4: Simplify right side
    221,056.50x = 109,722,007,859.77
  5. Step 5: Solve for x
    x = 109,722,007,859.77/221,056.50
  6. Step 6: Final answer
    x = 496,352.78

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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.