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Finding the Third Proportional to 87,788 and 188,899

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Solution

The third proportional to 87,788 and 188,899 is: 406,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,788 : 188,899 = 188,899 : x
  2. Step 2: Convert to fraction form
    87,788/188,899 = 188,899/x
  3. Step 3: Cross multiply
    87,788x = 188,899 × 188,899
  4. Step 4: Simplify right side
    87,788x = 35,682,832,201
  5. Step 5: Solve for x
    x = 35,682,832,201/87,788
  6. Step 6: Final answer
    x = 406,465.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.