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Finding the Third Proportional to 203,952 and 311,112

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Solution

The third proportional to 203,952 and 311,112 is: 474,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,952 : 311,112 = 311,112 : x
  2. Step 2: Convert to fraction form
    203,952/311,112 = 311,112/x
  3. Step 3: Cross multiply
    203,952x = 311,112 × 311,112
  4. Step 4: Simplify right side
    203,952x = 96,790,676,544
  5. Step 5: Solve for x
    x = 96,790,676,544/203,952
  6. Step 6: Final answer
    x = 474,575.77

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Why These Related Problems?

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