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Finding the Third Proportional to 57,009 and 131,963

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Solution

The third proportional to 57,009 and 131,963 is: 305,464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,009 : 131,963 = 131,963 : x
  2. Step 2: Convert to fraction form
    57,009/131,963 = 131,963/x
  3. Step 3: Cross multiply
    57,009x = 131,963 × 131,963
  4. Step 4: Simplify right side
    57,009x = 17,414,233,369
  5. Step 5: Solve for x
    x = 17,414,233,369/57,009
  6. Step 6: Final answer
    x = 305,464.63

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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.