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Finding the Third Proportional to 305,397 and 638,676

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Solution

The third proportional to 305,397 and 638,676 is: 1,335,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,397 : 638,676 = 638,676 : x
  2. Step 2: Convert to fraction form
    305,397/638,676 = 638,676/x
  3. Step 3: Cross multiply
    305,397x = 638,676 × 638,676
  4. Step 4: Simplify right side
    305,397x = 407,907,032,976
  5. Step 5: Solve for x
    x = 407,907,032,976/305,397
  6. Step 6: Final answer
    x = 1,335,661.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.