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Finding the Third Proportional to 18,536 and 19,976

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Solution

The third proportional to 18,536 and 19,976 is: 21,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536 : 19,976 = 19,976 : x
  2. Step 2: Convert to fraction form
    18,536/19,976 = 19,976/x
  3. Step 3: Cross multiply
    18,536x = 19,976 × 19,976
  4. Step 4: Simplify right side
    18,536x = 399,040,576
  5. Step 5: Solve for x
    x = 399,040,576/18,536
  6. Step 6: Final answer
    x = 21,527.87

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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.