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Finding the Third Proportional to 179,876 and 388,568

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Solution

The third proportional to 179,876 and 388,568 is: 839,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,876 : 388,568 = 388,568 : x
  2. Step 2: Convert to fraction form
    179,876/388,568 = 388,568/x
  3. Step 3: Cross multiply
    179,876x = 388,568 × 388,568
  4. Step 4: Simplify right side
    179,876x = 150,985,090,624
  5. Step 5: Solve for x
    x = 150,985,090,624/179,876
  6. Step 6: Final answer
    x = 839,384.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.