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Finding the Third Proportional to 180,288 and 267,456

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Solution

The third proportional to 180,288 and 267,456 is: 396,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,288 : 267,456 = 267,456 : x
  2. Step 2: Convert to fraction form
    180,288/267,456 = 267,456/x
  3. Step 3: Cross multiply
    180,288x = 267,456 × 267,456
  4. Step 4: Simplify right side
    180,288x = 71,532,711,936
  5. Step 5: Solve for x
    x = 71,532,711,936/180,288
  6. Step 6: Final answer
    x = 396,769.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.