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Finding the Third Proportional to 8,686 and 17,912

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Solution

The third proportional to 8,686 and 17,912 is: 36,937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686 : 17,912 = 17,912 : x
  2. Step 2: Convert to fraction form
    8,686/17,912 = 17,912/x
  3. Step 3: Cross multiply
    8,686x = 17,912 × 17,912
  4. Step 4: Simplify right side
    8,686x = 320,839,744
  5. Step 5: Solve for x
    x = 320,839,744/8,686
  6. Step 6: Final answer
    x = 36,937.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.