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Finding the Third Proportional to 11,378 and 17,189

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Solution

The third proportional to 11,378 and 17,189 is: 25,967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378 : 17,189 = 17,189 : x
  2. Step 2: Convert to fraction form
    11,378/17,189 = 17,189/x
  3. Step 3: Cross multiply
    11,378x = 17,189 × 17,189
  4. Step 4: Simplify right side
    11,378x = 295,461,721
  5. Step 5: Solve for x
    x = 295,461,721/11,378
  6. Step 6: Final answer
    x = 25,967.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.