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Finding the Third Proportional to 57,954 and 127,172

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Solution

The third proportional to 57,954 and 127,172 is: 279,061.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,954 : 127,172 = 127,172 : x
  2. Step 2: Convert to fraction form
    57,954/127,172 = 127,172/x
  3. Step 3: Cross multiply
    57,954x = 127,172 × 127,172
  4. Step 4: Simplify right side
    57,954x = 16,172,717,584
  5. Step 5: Solve for x
    x = 16,172,717,584/57,954
  6. Step 6: Final answer
    x = 279,061.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.