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Finding the Third Proportional to 18,149 and 38,761

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Solution

The third proportional to 18,149 and 38,761 is: 82,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,149 : 38,761 = 38,761 : x
  2. Step 2: Convert to fraction form
    18,149/38,761 = 38,761/x
  3. Step 3: Cross multiply
    18,149x = 38,761 × 38,761
  4. Step 4: Simplify right side
    18,149x = 1,502,415,121
  5. Step 5: Solve for x
    x = 1,502,415,121/18,149
  6. Step 6: Final answer
    x = 82,782.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.