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Finding the Third Proportional to 311,463 and 477,474.75

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Solution

The third proportional to 311,463 and 477,474.75 is: 731,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,463 : 477,474.75 = 477,474.75 : x
  2. Step 2: Convert to fraction form
    311,463/477,474.75 = 477,474.75/x
  3. Step 3: Cross multiply
    311,463x = 477,474.75 × 477,474.75
  4. Step 4: Simplify right side
    311,463x = 227,982,136,887.56
  5. Step 5: Solve for x
    x = 227,982,136,887.56/311,463
  6. Step 6: Final answer
    x = 731,971.81

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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.