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Finding the Third Proportional to 87,578 and 188,908

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Solution

The third proportional to 87,578 and 188,908 is: 407,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,578 : 188,908 = 188,908 : x
  2. Step 2: Convert to fraction form
    87,578/188,908 = 188,908/x
  3. Step 3: Cross multiply
    87,578x = 188,908 × 188,908
  4. Step 4: Simplify right side
    87,578x = 35,686,232,464
  5. Step 5: Solve for x
    x = 35,686,232,464/87,578
  6. Step 6: Final answer
    x = 407,479.42

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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.