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Finding the Third Proportional to 17,619 and 38,190

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Solution

The third proportional to 17,619 and 38,190 is: 82,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,619 : 38,190 = 38,190 : x
  2. Step 2: Convert to fraction form
    17,619/38,190 = 38,190/x
  3. Step 3: Cross multiply
    17,619x = 38,190 × 38,190
  4. Step 4: Simplify right side
    17,619x = 1,458,476,100
  5. Step 5: Solve for x
    x = 1,458,476,100/17,619
  6. Step 6: Final answer
    x = 82,778.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.