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Finding the Third Proportional to 5,126 and 11,933

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Solution

The third proportional to 5,126 and 11,933 is: 27,779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126 : 11,933 = 11,933 : x
  2. Step 2: Convert to fraction form
    5,126/11,933 = 11,933/x
  3. Step 3: Cross multiply
    5,126x = 11,933 × 11,933
  4. Step 4: Simplify right side
    5,126x = 142,396,489
  5. Step 5: Solve for x
    x = 142,396,489/5,126
  6. Step 6: Final answer
    x = 27,779.26

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.