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Finding the Third Proportional to 12,138 and 18,132

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Solution

The third proportional to 12,138 and 18,132 is: 27,085.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138 : 18,132 = 18,132 : x
  2. Step 2: Convert to fraction form
    12,138/18,132 = 18,132/x
  3. Step 3: Cross multiply
    12,138x = 18,132 × 18,132
  4. Step 4: Simplify right side
    12,138x = 328,769,424
  5. Step 5: Solve for x
    x = 328,769,424/12,138
  6. Step 6: Final answer
    x = 27,085.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.