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Finding the Third Proportional to 57,817 and 126,218

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Solution

The third proportional to 57,817 and 126,218 is: 275,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,817 : 126,218 = 126,218 : x
  2. Step 2: Convert to fraction form
    57,817/126,218 = 126,218/x
  3. Step 3: Cross multiply
    57,817x = 126,218 × 126,218
  4. Step 4: Simplify right side
    57,817x = 15,930,983,524
  5. Step 5: Solve for x
    x = 15,930,983,524/57,817
  6. Step 6: Final answer
    x = 275,541.51

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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.