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Finding the Third Proportional to 57,144 and 127,400

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Solution

The third proportional to 57,144 and 127,400 is: 284,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,144 : 127,400 = 127,400 : x
  2. Step 2: Convert to fraction form
    57,144/127,400 = 127,400/x
  3. Step 3: Cross multiply
    57,144x = 127,400 × 127,400
  4. Step 4: Simplify right side
    57,144x = 16,230,760,000
  5. Step 5: Solve for x
    x = 16,230,760,000/57,144
  6. Step 6: Final answer
    x = 284,032.62

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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.