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Finding the Third Proportional to 149,728 and 225,200

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Solution

The third proportional to 149,728 and 225,200 is: 338,714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,728 : 225,200 = 225,200 : x
  2. Step 2: Convert to fraction form
    149,728/225,200 = 225,200/x
  3. Step 3: Cross multiply
    149,728x = 225,200 × 225,200
  4. Step 4: Simplify right side
    149,728x = 50,715,040,000
  5. Step 5: Solve for x
    x = 50,715,040,000/149,728
  6. Step 6: Final answer
    x = 338,714.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.