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Finding the Third Proportional to 57,640 and 125,380

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Solution

The third proportional to 57,640 and 125,380 is: 272,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,640 : 125,380 = 125,380 : x
  2. Step 2: Convert to fraction form
    57,640/125,380 = 125,380/x
  3. Step 3: Cross multiply
    57,640x = 125,380 × 125,380
  4. Step 4: Simplify right side
    57,640x = 15,720,144,400
  5. Step 5: Solve for x
    x = 15,720,144,400/57,640
  6. Step 6: Final answer
    x = 272,729.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.