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Finding the Third Proportional to 15,900 and 21,198

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Solution

The third proportional to 15,900 and 21,198 is: 28,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900 : 21,198 = 21,198 : x
  2. Step 2: Convert to fraction form
    15,900/21,198 = 21,198/x
  3. Step 3: Cross multiply
    15,900x = 21,198 × 21,198
  4. Step 4: Simplify right side
    15,900x = 449,355,204
  5. Step 5: Solve for x
    x = 449,355,204/15,900
  6. Step 6: Final answer
    x = 28,261.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.