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Finding the Third Proportional to 313,653 and 667,766

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Solution

The third proportional to 313,653 and 667,766 is: 1,421,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,653 : 667,766 = 667,766 : x
  2. Step 2: Convert to fraction form
    313,653/667,766 = 667,766/x
  3. Step 3: Cross multiply
    313,653x = 667,766 × 667,766
  4. Step 4: Simplify right side
    313,653x = 445,911,430,756
  5. Step 5: Solve for x
    x = 445,911,430,756/313,653
  6. Step 6: Final answer
    x = 1,421,671.18

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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.