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Finding the Third Proportional to 127.09 and 256.92

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Solution

The third proportional to 127.09 and 256.92 is: 519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.09 : 256.92 = 256.92 : x
  2. Step 2: Convert to fraction form
    127.09/256.92 = 256.92/x
  3. Step 3: Cross multiply
    127.09x = 256.92 × 256.92
  4. Step 4: Simplify right side
    127.09x = 66,008.85
  5. Step 5: Solve for x
    x = 66,008.85/127.09
  6. Step 6: Final answer
    x = 519.39

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.