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Finding the Third Proportional to 57,078 and 127,257

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Solution

The third proportional to 57,078 and 127,257 is: 283,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,078 : 127,257 = 127,257 : x
  2. Step 2: Convert to fraction form
    57,078/127,257 = 127,257/x
  3. Step 3: Cross multiply
    57,078x = 127,257 × 127,257
  4. Step 4: Simplify right side
    57,078x = 16,194,344,049
  5. Step 5: Solve for x
    x = 16,194,344,049/57,078
  6. Step 6: Final answer
    x = 283,723.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.