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Finding the Third Proportional to 131,289 and 267,395

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Solution

The third proportional to 131,289 and 267,395 is: 544,600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,289 : 267,395 = 267,395 : x
  2. Step 2: Convert to fraction form
    131,289/267,395 = 267,395/x
  3. Step 3: Cross multiply
    131,289x = 267,395 × 267,395
  4. Step 4: Simplify right side
    131,289x = 71,500,086,025
  5. Step 5: Solve for x
    x = 71,500,086,025/131,289
  6. Step 6: Final answer
    x = 544,600.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.