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Finding the Third Proportional to 128,990 and 267,094

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Solution

The third proportional to 128,990 and 267,094 is: 553,059.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,990 : 267,094 = 267,094 : x
  2. Step 2: Convert to fraction form
    128,990/267,094 = 267,094/x
  3. Step 3: Cross multiply
    128,990x = 267,094 × 267,094
  4. Step 4: Simplify right side
    128,990x = 71,339,204,836
  5. Step 5: Solve for x
    x = 71,339,204,836/128,990
  6. Step 6: Final answer
    x = 553,059.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.