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Finding the Third Proportional to 203,528.25 and 311,336.38

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Solution

The third proportional to 203,528.25 and 311,336.38 is: 476,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,528.25 : 311,336.38 = 311,336.38 : x
  2. Step 2: Convert to fraction form
    203,528.25/311,336.38 = 311,336.38/x
  3. Step 3: Cross multiply
    203,528.25x = 311,336.38 × 311,336.38
  4. Step 4: Simplify right side
    203,528.25x = 96,930,338,398.14
  5. Step 5: Solve for x
    x = 96,930,338,398.14/203,528.25
  6. Step 6: Final answer
    x = 476,250.05

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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.