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Finding the Third Proportional to 313,992 and 680,112

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Solution

The third proportional to 313,992 and 680,112 is: 1,473,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,992 : 680,112 = 680,112 : x
  2. Step 2: Convert to fraction form
    313,992/680,112 = 680,112/x
  3. Step 3: Cross multiply
    313,992x = 680,112 × 680,112
  4. Step 4: Simplify right side
    313,992x = 462,552,332,544
  5. Step 5: Solve for x
    x = 462,552,332,544/313,992
  6. Step 6: Final answer
    x = 1,473,134.13

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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.