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Finding the Third Proportional to 17,867 and 40,287

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Solution

The third proportional to 17,867 and 40,287 is: 90,840.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,867 : 40,287 = 40,287 : x
  2. Step 2: Convert to fraction form
    17,867/40,287 = 40,287/x
  3. Step 3: Cross multiply
    17,867x = 40,287 × 40,287
  4. Step 4: Simplify right side
    17,867x = 1,623,042,369
  5. Step 5: Solve for x
    x = 1,623,042,369/17,867
  6. Step 6: Final answer
    x = 90,840.23

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.