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Finding the Third Proportional to 142,112 and 313,866

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Solution

The third proportional to 142,112 and 313,866 is: 693,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,112 : 313,866 = 313,866 : x
  2. Step 2: Convert to fraction form
    142,112/313,866 = 313,866/x
  3. Step 3: Cross multiply
    142,112x = 313,866 × 313,866
  4. Step 4: Simplify right side
    142,112x = 98,511,865,956
  5. Step 5: Solve for x
    x = 98,511,865,956/142,112
  6. Step 6: Final answer
    x = 693,198.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.