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Finding the Third Proportional to 17,975 and 38,218

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Solution

The third proportional to 17,975 and 38,218 is: 81,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,975 : 38,218 = 38,218 : x
  2. Step 2: Convert to fraction form
    17,975/38,218 = 38,218/x
  3. Step 3: Cross multiply
    17,975x = 38,218 × 38,218
  4. Step 4: Simplify right side
    17,975x = 1,460,615,524
  5. Step 5: Solve for x
    x = 1,460,615,524/17,975
  6. Step 6: Final answer
    x = 81,258.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.