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Finding the Third Proportional to 27,982 and 39,123

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Solution

The third proportional to 27,982 and 39,123 is: 54,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982 : 39,123 = 39,123 : x
  2. Step 2: Convert to fraction form
    27,982/39,123 = 39,123/x
  3. Step 3: Cross multiply
    27,982x = 39,123 × 39,123
  4. Step 4: Simplify right side
    27,982x = 1,530,609,129
  5. Step 5: Solve for x
    x = 1,530,609,129/27,982
  6. Step 6: Final answer
    x = 54,699.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.