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Finding the Third Proportional to 8,203 and 17,981

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Solution

The third proportional to 8,203 and 17,981 is: 39,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203 : 17,981 = 17,981 : x
  2. Step 2: Convert to fraction form
    8,203/17,981 = 17,981/x
  3. Step 3: Cross multiply
    8,203x = 17,981 × 17,981
  4. Step 4: Simplify right side
    8,203x = 323,316,361
  5. Step 5: Solve for x
    x = 323,316,361/8,203
  6. Step 6: Final answer
    x = 39,414.40

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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.