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Finding the Third Proportional to 8,142 and 12,027

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Solution

The third proportional to 8,142 and 12,027 is: 17,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142 : 12,027 = 12,027 : x
  2. Step 2: Convert to fraction form
    8,142/12,027 = 12,027/x
  3. Step 3: Cross multiply
    8,142x = 12,027 × 12,027
  4. Step 4: Simplify right side
    8,142x = 144,648,729
  5. Step 5: Solve for x
    x = 144,648,729/8,142
  6. Step 6: Final answer
    x = 17,765.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.