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Finding the Third Proportional to 87,013 and 185,411

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Solution

The third proportional to 87,013 and 185,411 is: 395,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,013 : 185,411 = 185,411 : x
  2. Step 2: Convert to fraction form
    87,013/185,411 = 185,411/x
  3. Step 3: Cross multiply
    87,013x = 185,411 × 185,411
  4. Step 4: Simplify right side
    87,013x = 34,377,238,921
  5. Step 5: Solve for x
    x = 34,377,238,921/87,013
  6. Step 6: Final answer
    x = 395,081.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.