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Finding the Third Proportional to 57,089 and 126,418

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Solution

The third proportional to 57,089 and 126,418 is: 279,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,089 : 126,418 = 126,418 : x
  2. Step 2: Convert to fraction form
    57,089/126,418 = 126,418/x
  3. Step 3: Cross multiply
    57,089x = 126,418 × 126,418
  4. Step 4: Simplify right side
    57,089x = 15,981,510,724
  5. Step 5: Solve for x
    x = 15,981,510,724/57,089
  6. Step 6: Final answer
    x = 279,940.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.