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Finding the Third Proportional to 18,074 and 38,929

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Solution

The third proportional to 18,074 and 38,929 is: 83,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,074 : 38,929 = 38,929 : x
  2. Step 2: Convert to fraction form
    18,074/38,929 = 38,929/x
  3. Step 3: Cross multiply
    18,074x = 38,929 × 38,929
  4. Step 4: Simplify right side
    18,074x = 1,515,467,041
  5. Step 5: Solve for x
    x = 1,515,467,041/18,074
  6. Step 6: Final answer
    x = 83,847.91

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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.