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Finding the Third Proportional to 180,676 and 268,400

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Solution

The third proportional to 180,676 and 268,400 is: 398,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,676 : 268,400 = 268,400 : x
  2. Step 2: Convert to fraction form
    180,676/268,400 = 268,400/x
  3. Step 3: Cross multiply
    180,676x = 268,400 × 268,400
  4. Step 4: Simplify right side
    180,676x = 72,038,560,000
  5. Step 5: Solve for x
    x = 72,038,560,000/180,676
  6. Step 6: Final answer
    x = 398,716.82

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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.