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Finding the Third Proportional to 54,229 and 120,909

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Solution

The third proportional to 54,229 and 120,909 is: 269,578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,229 : 120,909 = 120,909 : x
  2. Step 2: Convert to fraction form
    54,229/120,909 = 120,909/x
  3. Step 3: Cross multiply
    54,229x = 120,909 × 120,909
  4. Step 4: Simplify right side
    54,229x = 14,618,986,281
  5. Step 5: Solve for x
    x = 14,618,986,281/54,229
  6. Step 6: Final answer
    x = 269,578.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.