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Finding the Third Proportional to 201,042 and 311,419

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Solution

The third proportional to 201,042 and 311,419 is: 482,395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,042 : 311,419 = 311,419 : x
  2. Step 2: Convert to fraction form
    201,042/311,419 = 311,419/x
  3. Step 3: Cross multiply
    201,042x = 311,419 × 311,419
  4. Step 4: Simplify right side
    201,042x = 96,981,793,561
  5. Step 5: Solve for x
    x = 96,981,793,561/201,042
  6. Step 6: Final answer
    x = 482,395.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.