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Finding the Third Proportional to 313,593 and 667,640

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Solution

The third proportional to 313,593 and 667,640 is: 1,421,406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,593 : 667,640 = 667,640 : x
  2. Step 2: Convert to fraction form
    313,593/667,640 = 667,640/x
  3. Step 3: Cross multiply
    313,593x = 667,640 × 667,640
  4. Step 4: Simplify right side
    313,593x = 445,743,169,600
  5. Step 5: Solve for x
    x = 445,743,169,600/313,593
  6. Step 6: Final answer
    x = 1,421,406.63

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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.