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Finding the Third Proportional to 143,761 and 313,627

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Solution

The third proportional to 143,761 and 313,627 is: 684,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,761 : 313,627 = 313,627 : x
  2. Step 2: Convert to fraction form
    143,761/313,627 = 313,627/x
  3. Step 3: Cross multiply
    143,761x = 313,627 × 313,627
  4. Step 4: Simplify right side
    143,761x = 98,361,895,129
  5. Step 5: Solve for x
    x = 98,361,895,129/143,761
  6. Step 6: Final answer
    x = 684,204.31

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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.