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Finding the Third Proportional to 57,320 and 80,720

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Solution

The third proportional to 57,320 and 80,720 is: 113,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,320 : 80,720 = 80,720 : x
  2. Step 2: Convert to fraction form
    57,320/80,720 = 80,720/x
  3. Step 3: Cross multiply
    57,320x = 80,720 × 80,720
  4. Step 4: Simplify right side
    57,320x = 6,515,718,400
  5. Step 5: Solve for x
    x = 6,515,718,400/57,320
  6. Step 6: Final answer
    x = 113,672.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.