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Finding the Third Proportional to 18,569 and 20,189

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Solution

The third proportional to 18,569 and 20,189 is: 21,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,569 : 20,189 = 20,189 : x
  2. Step 2: Convert to fraction form
    18,569/20,189 = 20,189/x
  3. Step 3: Cross multiply
    18,569x = 20,189 × 20,189
  4. Step 4: Simplify right side
    18,569x = 407,595,721
  5. Step 5: Solve for x
    x = 407,595,721/18,569
  6. Step 6: Final answer
    x = 21,950.33

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.