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Finding the Third Proportional to 142,759 and 313,766

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Solution

The third proportional to 142,759 and 313,766 is: 689,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,759 : 313,766 = 313,766 : x
  2. Step 2: Convert to fraction form
    142,759/313,766 = 313,766/x
  3. Step 3: Cross multiply
    142,759x = 313,766 × 313,766
  4. Step 4: Simplify right side
    142,759x = 98,449,102,756
  5. Step 5: Solve for x
    x = 98,449,102,756/142,759
  6. Step 6: Final answer
    x = 689,617.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.