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Finding the Third Proportional to 308,761.50 and 481,815

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Solution

The third proportional to 308,761.50 and 481,815 is: 751,860.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,761.50 : 481,815 = 481,815 : x
  2. Step 2: Convert to fraction form
    308,761.50/481,815 = 481,815/x
  3. Step 3: Cross multiply
    308,761.50x = 481,815 × 481,815
  4. Step 4: Simplify right side
    308,761.50x = 232,145,694,225
  5. Step 5: Solve for x
    x = 232,145,694,225/308,761.50
  6. Step 6: Final answer
    x = 751,860.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.