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Finding the Third Proportional to 201,057 and 311,439

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Solution

The third proportional to 201,057 and 311,439 is: 482,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,057 : 311,439 = 311,439 : x
  2. Step 2: Convert to fraction form
    201,057/311,439 = 311,439/x
  3. Step 3: Cross multiply
    201,057x = 311,439 × 311,439
  4. Step 4: Simplify right side
    201,057x = 96,994,250,721
  5. Step 5: Solve for x
    x = 96,994,250,721/201,057
  6. Step 6: Final answer
    x = 482,421.66

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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.