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Finding the Third Proportional to 18,304 and 19,744

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Solution

The third proportional to 18,304 and 19,744 is: 21,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,304 : 19,744 = 19,744 : x
  2. Step 2: Convert to fraction form
    18,304/19,744 = 19,744/x
  3. Step 3: Cross multiply
    18,304x = 19,744 × 19,744
  4. Step 4: Simplify right side
    18,304x = 389,825,536
  5. Step 5: Solve for x
    x = 389,825,536/18,304
  6. Step 6: Final answer
    x = 21,297.29

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.