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Finding the Third Proportional to 57,013 and 131,969

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Solution

The third proportional to 57,013 and 131,969 is: 305,470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,013 : 131,969 = 131,969 : x
  2. Step 2: Convert to fraction form
    57,013/131,969 = 131,969/x
  3. Step 3: Cross multiply
    57,013x = 131,969 × 131,969
  4. Step 4: Simplify right side
    57,013x = 17,415,816,961
  5. Step 5: Solve for x
    x = 17,415,816,961/57,013
  6. Step 6: Final answer
    x = 305,470.98

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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.