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Finding the Third Proportional to 76,887 and 168,909

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Solution

The third proportional to 76,887 and 168,909 is: 371,067.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,887 : 168,909 = 168,909 : x
  2. Step 2: Convert to fraction form
    76,887/168,909 = 168,909/x
  3. Step 3: Cross multiply
    76,887x = 168,909 × 168,909
  4. Step 4: Simplify right side
    76,887x = 28,530,250,281
  5. Step 5: Solve for x
    x = 28,530,250,281/76,887
  6. Step 6: Final answer
    x = 371,067.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.