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Finding the Third Proportional to 17,489 and 36,949

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Solution

The third proportional to 17,489 and 36,949 is: 78,062.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,489 : 36,949 = 36,949 : x
  2. Step 2: Convert to fraction form
    17,489/36,949 = 36,949/x
  3. Step 3: Cross multiply
    17,489x = 36,949 × 36,949
  4. Step 4: Simplify right side
    17,489x = 1,365,228,601
  5. Step 5: Solve for x
    x = 1,365,228,601/17,489
  6. Step 6: Final answer
    x = 78,062.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.