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Finding the Third Proportional to 27,378 and 39,123

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Solution

The third proportional to 27,378 and 39,123 is: 55,906.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378 : 39,123 = 39,123 : x
  2. Step 2: Convert to fraction form
    27,378/39,123 = 39,123/x
  3. Step 3: Cross multiply
    27,378x = 39,123 × 39,123
  4. Step 4: Simplify right side
    27,378x = 1,530,609,129
  5. Step 5: Solve for x
    x = 1,530,609,129/27,378
  6. Step 6: Final answer
    x = 55,906.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.