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Finding the Third Proportional to 19,859 and 28,227

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Solution

The third proportional to 19,859 and 28,227 is: 40,121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859 : 28,227 = 28,227 : x
  2. Step 2: Convert to fraction form
    19,859/28,227 = 28,227/x
  3. Step 3: Cross multiply
    19,859x = 28,227 × 28,227
  4. Step 4: Simplify right side
    19,859x = 796,763,529
  5. Step 5: Solve for x
    x = 796,763,529/19,859
  6. Step 6: Final answer
    x = 40,121.03

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.