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Finding the Third Proportional to 180,757.50 and 393,699

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Solution

The third proportional to 180,757.50 and 393,699 is: 857,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,757.50 : 393,699 = 393,699 : x
  2. Step 2: Convert to fraction form
    180,757.50/393,699 = 393,699/x
  3. Step 3: Cross multiply
    180,757.50x = 393,699 × 393,699
  4. Step 4: Simplify right side
    180,757.50x = 154,998,902,601
  5. Step 5: Solve for x
    x = 154,998,902,601/180,757.50
  6. Step 6: Final answer
    x = 857,496.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.