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Finding the Third Proportional to 57,009 and 131,964

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Solution

The third proportional to 57,009 and 131,964 is: 305,469.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,009 : 131,964 = 131,964 : x
  2. Step 2: Convert to fraction form
    57,009/131,964 = 131,964/x
  3. Step 3: Cross multiply
    57,009x = 131,964 × 131,964
  4. Step 4: Simplify right side
    57,009x = 17,414,497,296
  5. Step 5: Solve for x
    x = 17,414,497,296/57,009
  6. Step 6: Final answer
    x = 305,469.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.