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Finding the Third Proportional to 20,173 and 26,189

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Solution

The third proportional to 20,173 and 26,189 is: 33,999.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173 : 26,189 = 26,189 : x
  2. Step 2: Convert to fraction form
    20,173/26,189 = 26,189/x
  3. Step 3: Cross multiply
    20,173x = 26,189 × 26,189
  4. Step 4: Simplify right side
    20,173x = 685,863,721
  5. Step 5: Solve for x
    x = 685,863,721/20,173
  6. Step 6: Final answer
    x = 33,999.09

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.