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Finding the Third Proportional to 267,948 and 398,277

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Solution

The third proportional to 267,948 and 398,277 is: 591,997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,948 : 398,277 = 398,277 : x
  2. Step 2: Convert to fraction form
    267,948/398,277 = 398,277/x
  3. Step 3: Cross multiply
    267,948x = 398,277 × 398,277
  4. Step 4: Simplify right side
    267,948x = 158,624,568,729
  5. Step 5: Solve for x
    x = 158,624,568,729/267,948
  6. Step 6: Final answer
    x = 591,997.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.