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Finding the Third Proportional to 17,717 and 23,623

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Solution

The third proportional to 17,717 and 23,623 is: 31,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,717 : 23,623 = 23,623 : x
  2. Step 2: Convert to fraction form
    17,717/23,623 = 23,623/x
  3. Step 3: Cross multiply
    17,717x = 23,623 × 23,623
  4. Step 4: Simplify right side
    17,717x = 558,046,129
  5. Step 5: Solve for x
    x = 558,046,129/17,717
  6. Step 6: Final answer
    x = 31,497.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.