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Finding the Third Proportional to 221,163.75 and 333,573

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Solution

The third proportional to 221,163.75 and 333,573 is: 503,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,163.75 : 333,573 = 333,573 : x
  2. Step 2: Convert to fraction form
    221,163.75/333,573 = 333,573/x
  3. Step 3: Cross multiply
    221,163.75x = 333,573 × 333,573
  4. Step 4: Simplify right side
    221,163.75x = 111,270,946,329
  5. Step 5: Solve for x
    x = 111,270,946,329/221,163.75
  6. Step 6: Final answer
    x = 503,115.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.