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Finding the Third Proportional to 201,909 and 311,288

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Solution

The third proportional to 201,909 and 311,288 is: 479,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,909 : 311,288 = 311,288 : x
  2. Step 2: Convert to fraction form
    201,909/311,288 = 311,288/x
  3. Step 3: Cross multiply
    201,909x = 311,288 × 311,288
  4. Step 4: Simplify right side
    201,909x = 96,900,218,944
  5. Step 5: Solve for x
    x = 96,900,218,944/201,909
  6. Step 6: Final answer
    x = 479,920.26

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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.