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Finding the Third Proportional to 39,409 and 86,474

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Solution

The third proportional to 39,409 and 86,474 is: 189,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,409 : 86,474 = 86,474 : x
  2. Step 2: Convert to fraction form
    39,409/86,474 = 86,474/x
  3. Step 3: Cross multiply
    39,409x = 86,474 × 86,474
  4. Step 4: Simplify right side
    39,409x = 7,477,752,676
  5. Step 5: Solve for x
    x = 7,477,752,676/39,409
  6. Step 6: Final answer
    x = 189,747.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.