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Finding the Third Proportional to 57,283 and 135,439

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Solution

The third proportional to 57,283 and 135,439 is: 320,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,283 : 135,439 = 135,439 : x
  2. Step 2: Convert to fraction form
    57,283/135,439 = 135,439/x
  3. Step 3: Cross multiply
    57,283x = 135,439 × 135,439
  4. Step 4: Simplify right side
    57,283x = 18,343,722,721
  5. Step 5: Solve for x
    x = 18,343,722,721/57,283
  6. Step 6: Final answer
    x = 320,229.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.