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Finding the Third Proportional to 17,816 and 38,311

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Solution

The third proportional to 17,816 and 38,311 is: 82,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,816 : 38,311 = 38,311 : x
  2. Step 2: Convert to fraction form
    17,816/38,311 = 38,311/x
  3. Step 3: Cross multiply
    17,816x = 38,311 × 38,311
  4. Step 4: Simplify right side
    17,816x = 1,467,732,721
  5. Step 5: Solve for x
    x = 1,467,732,721/17,816
  6. Step 6: Final answer
    x = 82,382.84

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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.