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Finding the Third Proportional to 17,442 and 38,619

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Solution

The third proportional to 17,442 and 38,619 is: 85,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,442 : 38,619 = 38,619 : x
  2. Step 2: Convert to fraction form
    17,442/38,619 = 38,619/x
  3. Step 3: Cross multiply
    17,442x = 38,619 × 38,619
  4. Step 4: Simplify right side
    17,442x = 1,491,427,161
  5. Step 5: Solve for x
    x = 1,491,427,161/17,442
  6. Step 6: Final answer
    x = 85,507.81

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.