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Finding the Third Proportional to 39,974 and 86,860

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Solution

The third proportional to 39,974 and 86,860 is: 188,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,974 : 86,860 = 86,860 : x
  2. Step 2: Convert to fraction form
    39,974/86,860 = 86,860/x
  3. Step 3: Cross multiply
    39,974x = 86,860 × 86,860
  4. Step 4: Simplify right side
    39,974x = 7,544,659,600
  5. Step 5: Solve for x
    x = 7,544,659,600/39,974
  6. Step 6: Final answer
    x = 188,739.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.