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Finding the Third Proportional to 17,863 and 39,181

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Solution

The third proportional to 17,863 and 39,181 is: 85,940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,863 : 39,181 = 39,181 : x
  2. Step 2: Convert to fraction form
    17,863/39,181 = 39,181/x
  3. Step 3: Cross multiply
    17,863x = 39,181 × 39,181
  4. Step 4: Simplify right side
    17,863x = 1,535,150,761
  5. Step 5: Solve for x
    x = 1,535,150,761/17,863
  6. Step 6: Final answer
    x = 85,940.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.