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Finding the Third Proportional to 87,511 and 190,860

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Solution

The third proportional to 87,511 and 190,860 is: 416,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,511 : 190,860 = 190,860 : x
  2. Step 2: Convert to fraction form
    87,511/190,860 = 190,860/x
  3. Step 3: Cross multiply
    87,511x = 190,860 × 190,860
  4. Step 4: Simplify right side
    87,511x = 36,427,539,600
  5. Step 5: Solve for x
    x = 36,427,539,600/87,511
  6. Step 6: Final answer
    x = 416,262.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.