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Finding the Third Proportional to 18,384 and 38,922

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Solution

The third proportional to 18,384 and 38,922 is: 82,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384 : 38,922 = 38,922 : x
  2. Step 2: Convert to fraction form
    18,384/38,922 = 38,922/x
  3. Step 3: Cross multiply
    18,384x = 38,922 × 38,922
  4. Step 4: Simplify right side
    18,384x = 1,514,922,084
  5. Step 5: Solve for x
    x = 1,514,922,084/18,384
  6. Step 6: Final answer
    x = 82,404.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.