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Finding the Third Proportional to 19,469 and 20,873

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Solution

The third proportional to 19,469 and 20,873 is: 22,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,469 : 20,873 = 20,873 : x
  2. Step 2: Convert to fraction form
    19,469/20,873 = 20,873/x
  3. Step 3: Cross multiply
    19,469x = 20,873 × 20,873
  4. Step 4: Simplify right side
    19,469x = 435,682,129
  5. Step 5: Solve for x
    x = 435,682,129/19,469
  6. Step 6: Final answer
    x = 22,378.25

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.