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Finding the Third Proportional to 18,929 and 40,286

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Solution

The third proportional to 18,929 and 40,286 is: 85,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,929 : 40,286 = 40,286 : x
  2. Step 2: Convert to fraction form
    18,929/40,286 = 40,286/x
  3. Step 3: Cross multiply
    18,929x = 40,286 × 40,286
  4. Step 4: Simplify right side
    18,929x = 1,622,961,796
  5. Step 5: Solve for x
    x = 1,622,961,796/18,929
  6. Step 6: Final answer
    x = 85,739.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.