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Finding the Third Proportional to 87,265 and 188,455

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Solution

The third proportional to 87,265 and 188,455 is: 406,982.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,265 : 188,455 = 188,455 : x
  2. Step 2: Convert to fraction form
    87,265/188,455 = 188,455/x
  3. Step 3: Cross multiply
    87,265x = 188,455 × 188,455
  4. Step 4: Simplify right side
    87,265x = 35,515,287,025
  5. Step 5: Solve for x
    x = 35,515,287,025/87,265
  6. Step 6: Final answer
    x = 406,982.03

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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.