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Finding the Third Proportional to 313,589 and 667,632

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Solution

The third proportional to 313,589 and 667,632 is: 1,421,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,589 : 667,632 = 667,632 : x
  2. Step 2: Convert to fraction form
    313,589/667,632 = 667,632/x
  3. Step 3: Cross multiply
    313,589x = 667,632 × 667,632
  4. Step 4: Simplify right side
    313,589x = 445,732,487,424
  5. Step 5: Solve for x
    x = 445,732,487,424/313,589
  6. Step 6: Final answer
    x = 1,421,390.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.