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Finding the Third Proportional to 128,981 and 267,074

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Solution

The third proportional to 128,981 and 267,074 is: 553,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,981 : 267,074 = 267,074 : x
  2. Step 2: Convert to fraction form
    128,981/267,074 = 267,074/x
  3. Step 3: Cross multiply
    128,981x = 267,074 × 267,074
  4. Step 4: Simplify right side
    128,981x = 71,328,521,476
  5. Step 5: Solve for x
    x = 71,328,521,476/128,981
  6. Step 6: Final answer
    x = 553,015.73

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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.