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Finding the Third Proportional to 87,205 and 188,348

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Solution

The third proportional to 87,205 and 188,348 is: 406,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,205 : 188,348 = 188,348 : x
  2. Step 2: Convert to fraction form
    87,205/188,348 = 188,348/x
  3. Step 3: Cross multiply
    87,205x = 188,348 × 188,348
  4. Step 4: Simplify right side
    87,205x = 35,474,969,104
  5. Step 5: Solve for x
    x = 35,474,969,104/87,205
  6. Step 6: Final answer
    x = 406,799.71

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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.