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Finding the Third Proportional to 313,576 and 681,908

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Solution

The third proportional to 313,576 and 681,908 is: 1,482,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,576 : 681,908 = 681,908 : x
  2. Step 2: Convert to fraction form
    313,576/681,908 = 681,908/x
  3. Step 3: Cross multiply
    313,576x = 681,908 × 681,908
  4. Step 4: Simplify right side
    313,576x = 464,998,520,464
  5. Step 5: Solve for x
    x = 464,998,520,464/313,576
  6. Step 6: Final answer
    x = 1,482,889.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.