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Finding the Third Proportional to 200,818 and 267,728

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Solution

The third proportional to 200,818 and 267,728 is: 356,931.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,818 : 267,728 = 267,728 : x
  2. Step 2: Convert to fraction form
    200,818/267,728 = 267,728/x
  3. Step 3: Cross multiply
    200,818x = 267,728 × 267,728
  4. Step 4: Simplify right side
    200,818x = 71,678,281,984
  5. Step 5: Solve for x
    x = 71,678,281,984/200,818
  6. Step 6: Final answer
    x = 356,931.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.