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Finding the Third Proportional to 308,983.78 and 676,879.03

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Solution

The third proportional to 308,983.78 and 676,879.03 is: 1,482,813.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,983.78 : 676,879.03 = 676,879.03 : x
  2. Step 2: Convert to fraction form
    308,983.78/676,879.03 = 676,879.03/x
  3. Step 3: Cross multiply
    308,983.78x = 676,879.03 × 676,879.03
  4. Step 4: Simplify right side
    308,983.78x = 458,165,222,945.94
  5. Step 5: Solve for x
    x = 458,165,222,945.94/308,983.78
  6. Step 6: Final answer
    x = 1,482,813.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.