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Finding the Third Proportional to 57,344 and 126,720

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Solution

The third proportional to 57,344 and 126,720 is: 280,028.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,344 : 126,720 = 126,720 : x
  2. Step 2: Convert to fraction form
    57,344/126,720 = 126,720/x
  3. Step 3: Cross multiply
    57,344x = 126,720 × 126,720
  4. Step 4: Simplify right side
    57,344x = 16,057,958,400
  5. Step 5: Solve for x
    x = 16,057,958,400/57,344
  6. Step 6: Final answer
    x = 280,028.57

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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.