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Finding the Third Proportional to 57,567 and 135,699

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Solution

The third proportional to 57,567 and 135,699 is: 319,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,567 : 135,699 = 135,699 : x
  2. Step 2: Convert to fraction form
    57,567/135,699 = 135,699/x
  3. Step 3: Cross multiply
    57,567x = 135,699 × 135,699
  4. Step 4: Simplify right side
    57,567x = 18,414,218,601
  5. Step 5: Solve for x
    x = 18,414,218,601/57,567
  6. Step 6: Final answer
    x = 319,874.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.