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Finding the Third Proportional to 18,563 and 38,949

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Solution

The third proportional to 18,563 and 38,949 is: 81,723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563 : 38,949 = 38,949 : x
  2. Step 2: Convert to fraction form
    18,563/38,949 = 38,949/x
  3. Step 3: Cross multiply
    18,563x = 38,949 × 38,949
  4. Step 4: Simplify right side
    18,563x = 1,517,024,601
  5. Step 5: Solve for x
    x = 1,517,024,601/18,563
  6. Step 6: Final answer
    x = 81,723.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.