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Finding the Third Proportional to 311,976 and 638,736

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Solution

The third proportional to 311,976 and 638,736 is: 1,307,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,976 : 638,736 = 638,736 : x
  2. Step 2: Convert to fraction form
    311,976/638,736 = 638,736/x
  3. Step 3: Cross multiply
    311,976x = 638,736 × 638,736
  4. Step 4: Simplify right side
    311,976x = 407,983,677,696
  5. Step 5: Solve for x
    x = 407,983,677,696/311,976
  6. Step 6: Final answer
    x = 1,307,740.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.