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Finding the Third Proportional to 86,652 and 188,974

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Solution

The third proportional to 86,652 and 188,974 is: 412,121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,652 : 188,974 = 188,974 : x
  2. Step 2: Convert to fraction form
    86,652/188,974 = 188,974/x
  3. Step 3: Cross multiply
    86,652x = 188,974 × 188,974
  4. Step 4: Simplify right side
    86,652x = 35,711,172,676
  5. Step 5: Solve for x
    x = 35,711,172,676/86,652
  6. Step 6: Final answer
    x = 412,121.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.