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Finding the Third Proportional to 189,728 and 285,096

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Solution

The third proportional to 189,728 and 285,096 is: 428,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,728 : 285,096 = 285,096 : x
  2. Step 2: Convert to fraction form
    189,728/285,096 = 285,096/x
  3. Step 3: Cross multiply
    189,728x = 285,096 × 285,096
  4. Step 4: Simplify right side
    189,728x = 81,279,729,216
  5. Step 5: Solve for x
    x = 81,279,729,216/189,728
  6. Step 6: Final answer
    x = 428,401.34

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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.