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Finding the Third Proportional to 201,921 and 311,304.75

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Solution

The third proportional to 201,921 and 311,304.75 is: 479,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,921 : 311,304.75 = 311,304.75 : x
  2. Step 2: Convert to fraction form
    201,921/311,304.75 = 311,304.75/x
  3. Step 3: Cross multiply
    201,921x = 311,304.75 × 311,304.75
  4. Step 4: Simplify right side
    201,921x = 96,910,647,372.56
  5. Step 5: Solve for x
    x = 96,910,647,372.56/201,921
  6. Step 6: Final answer
    x = 479,943.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.