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Finding the Third Proportional to 17,864 and 38,486

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Solution

The third proportional to 17,864 and 38,486 is: 82,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864 : 38,486 = 38,486 : x
  2. Step 2: Convert to fraction form
    17,864/38,486 = 38,486/x
  3. Step 3: Cross multiply
    17,864x = 38,486 × 38,486
  4. Step 4: Simplify right side
    17,864x = 1,481,172,196
  5. Step 5: Solve for x
    x = 1,481,172,196/17,864
  6. Step 6: Final answer
    x = 82,913.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.