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Finding the Third Proportional to 127.27 and 262.97

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Solution

The third proportional to 127.27 and 262.97 is: 543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.27 : 262.97 = 262.97 : x
  2. Step 2: Convert to fraction form
    127.27/262.97 = 262.97/x
  3. Step 3: Cross multiply
    127.27x = 262.97 × 262.97
  4. Step 4: Simplify right side
    127.27x = 69,152.56
  5. Step 5: Solve for x
    x = 69,152.56/127.27
  6. Step 6: Final answer
    x = 543.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.