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Finding the Third Proportional to 201,149 and 303,773.75

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Solution

The third proportional to 201,149 and 303,773.75 is: 458,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,149 : 303,773.75 = 303,773.75 : x
  2. Step 2: Convert to fraction form
    201,149/303,773.75 = 303,773.75/x
  3. Step 3: Cross multiply
    201,149x = 303,773.75 × 303,773.75
  4. Step 4: Simplify right side
    201,149x = 92,278,491,189.06
  5. Step 5: Solve for x
    x = 92,278,491,189.06/201,149
  6. Step 6: Final answer
    x = 458,756.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.