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Finding the Third Proportional to 8,180 and 17,431

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Solution

The third proportional to 8,180 and 17,431 is: 37,144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180 : 17,431 = 17,431 : x
  2. Step 2: Convert to fraction form
    8,180/17,431 = 17,431/x
  3. Step 3: Cross multiply
    8,180x = 17,431 × 17,431
  4. Step 4: Simplify right side
    8,180x = 303,839,761
  5. Step 5: Solve for x
    x = 303,839,761/8,180
  6. Step 6: Final answer
    x = 37,144.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.