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Finding the Third Proportional to 311,923 and 656,441

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Solution

The third proportional to 311,923 and 656,441 is: 1,381,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,923 : 656,441 = 656,441 : x
  2. Step 2: Convert to fraction form
    311,923/656,441 = 656,441/x
  3. Step 3: Cross multiply
    311,923x = 656,441 × 656,441
  4. Step 4: Simplify right side
    311,923x = 430,914,786,481
  5. Step 5: Solve for x
    x = 430,914,786,481/311,923
  6. Step 6: Final answer
    x = 1,381,478.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.