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Finding the Third Proportional to 109,600 and 171,320

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Solution

The third proportional to 109,600 and 171,320 is: 267,796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,600 : 171,320 = 171,320 : x
  2. Step 2: Convert to fraction form
    109,600/171,320 = 171,320/x
  3. Step 3: Cross multiply
    109,600x = 171,320 × 171,320
  4. Step 4: Simplify right side
    109,600x = 29,350,542,400
  5. Step 5: Solve for x
    x = 29,350,542,400/109,600
  6. Step 6: Final answer
    x = 267,796.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.