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Finding the Third Proportional to 57,727 and 119,990

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Solution

The third proportional to 57,727 and 119,990 is: 249,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,727 : 119,990 = 119,990 : x
  2. Step 2: Convert to fraction form
    57,727/119,990 = 119,990/x
  3. Step 3: Cross multiply
    57,727x = 119,990 × 119,990
  4. Step 4: Simplify right side
    57,727x = 14,397,600,100
  5. Step 5: Solve for x
    x = 14,397,600,100/57,727
  6. Step 6: Final answer
    x = 249,408.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.