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Finding the Third Proportional to 267 and 436

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Solution

The third proportional to 267 and 436 is: 711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267 : 436 = 436 : x
  2. Step 2: Convert to fraction form
    267/436 = 436/x
  3. Step 3: Cross multiply
    267x = 436 × 436
  4. Step 4: Simplify right side
    267x = 190,096
  5. Step 5: Solve for x
    x = 190,096/267
  6. Step 6: Final answer
    x = 711.97

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.