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Finding the Third Proportional to 16,986 and 18,282

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Solution

The third proportional to 16,986 and 18,282 is: 19,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,986 : 18,282 = 18,282 : x
  2. Step 2: Convert to fraction form
    16,986/18,282 = 18,282/x
  3. Step 3: Cross multiply
    16,986x = 18,282 × 18,282
  4. Step 4: Simplify right side
    16,986x = 334,231,524
  5. Step 5: Solve for x
    x = 334,231,524/16,986
  6. Step 6: Final answer
    x = 19,676.88

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.