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Finding the Third Proportional to 39,930 and 55,519

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Solution

The third proportional to 39,930 and 55,519 is: 77,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,930 : 55,519 = 55,519 : x
  2. Step 2: Convert to fraction form
    39,930/55,519 = 55,519/x
  3. Step 3: Cross multiply
    39,930x = 55,519 × 55,519
  4. Step 4: Simplify right side
    39,930x = 3,082,359,361
  5. Step 5: Solve for x
    x = 3,082,359,361/39,930
  6. Step 6: Final answer
    x = 77,194.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.