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Finding the Third Proportional to 143,622 and 313,012

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Solution

The third proportional to 143,622 and 313,012 is: 682,183.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,622 : 313,012 = 313,012 : x
  2. Step 2: Convert to fraction form
    143,622/313,012 = 313,012/x
  3. Step 3: Cross multiply
    143,622x = 313,012 × 313,012
  4. Step 4: Simplify right side
    143,622x = 97,976,512,144
  5. Step 5: Solve for x
    x = 97,976,512,144/143,622
  6. Step 6: Final answer
    x = 682,183.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.