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Finding the Third Proportional to 308,982.94 and 676,876.78

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Solution

The third proportional to 308,982.94 and 676,876.78 is: 1,482,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,982.94 : 676,876.78 = 676,876.78 : x
  2. Step 2: Convert to fraction form
    308,982.94/676,876.78 = 676,876.78/x
  3. Step 3: Cross multiply
    308,982.94x = 676,876.78 × 676,876.78
  4. Step 4: Simplify right side
    308,982.94x = 458,162,176,995.36
  5. Step 5: Solve for x
    x = 458,162,176,995.36/308,982.94
  6. Step 6: Final answer
    x = 1,482,807.37

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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.