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Finding the Third Proportional to 17,828 and 20,420

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Solution

The third proportional to 17,828 and 20,420 is: 23,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828 : 20,420 = 20,420 : x
  2. Step 2: Convert to fraction form
    17,828/20,420 = 20,420/x
  3. Step 3: Cross multiply
    17,828x = 20,420 × 20,420
  4. Step 4: Simplify right side
    17,828x = 416,976,400
  5. Step 5: Solve for x
    x = 416,976,400/17,828
  6. Step 6: Final answer
    x = 23,388.85

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.