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Finding the Third Proportional to 55,857 and 108,909

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Solution

The third proportional to 55,857 and 108,909 is: 212,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,857 : 108,909 = 108,909 : x
  2. Step 2: Convert to fraction form
    55,857/108,909 = 108,909/x
  3. Step 3: Cross multiply
    55,857x = 108,909 × 108,909
  4. Step 4: Simplify right side
    55,857x = 11,861,170,281
  5. Step 5: Solve for x
    x = 11,861,170,281/55,857
  6. Step 6: Final answer
    x = 212,348.86

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.