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Finding the Third Proportional to 203,472 and 311,256

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Solution

The third proportional to 203,472 and 311,256 is: 476,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,472 : 311,256 = 311,256 : x
  2. Step 2: Convert to fraction form
    203,472/311,256 = 311,256/x
  3. Step 3: Cross multiply
    203,472x = 311,256 × 311,256
  4. Step 4: Simplify right side
    203,472x = 96,880,297,536
  5. Step 5: Solve for x
    x = 96,880,297,536/203,472
  6. Step 6: Final answer
    x = 476,135.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.