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Finding the Third Proportional to 311,923 and 445,720

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Solution

The third proportional to 311,923 and 445,720 is: 636,908.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,923 : 445,720 = 445,720 : x
  2. Step 2: Convert to fraction form
    311,923/445,720 = 445,720/x
  3. Step 3: Cross multiply
    311,923x = 445,720 × 445,720
  4. Step 4: Simplify right side
    311,923x = 198,666,318,400
  5. Step 5: Solve for x
    x = 198,666,318,400/311,923
  6. Step 6: Final answer
    x = 636,908.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.