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Finding the Third Proportional to 311,462 and 477,474

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Solution

The third proportional to 311,462 and 477,474 is: 731,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,462 : 477,474 = 477,474 : x
  2. Step 2: Convert to fraction form
    311,462/477,474 = 477,474/x
  3. Step 3: Cross multiply
    311,462x = 477,474 × 477,474
  4. Step 4: Simplify right side
    311,462x = 227,981,420,676
  5. Step 5: Solve for x
    x = 227,981,420,676/311,462
  6. Step 6: Final answer
    x = 731,971.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.