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Finding the Third Proportional to 18,138 and 27,123

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Solution

The third proportional to 18,138 and 27,123 is: 40,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,138 : 27,123 = 27,123 : x
  2. Step 2: Convert to fraction form
    18,138/27,123 = 27,123/x
  3. Step 3: Cross multiply
    18,138x = 27,123 × 27,123
  4. Step 4: Simplify right side
    18,138x = 735,657,129
  5. Step 5: Solve for x
    x = 735,657,129/18,138
  6. Step 6: Final answer
    x = 40,558.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.