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Finding the Third Proportional to 68.06 and 127.78

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Solution

The third proportional to 68.06 and 127.78 is: 239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.06 : 127.78 = 127.78 : x
  2. Step 2: Convert to fraction form
    68.06/127.78 = 127.78/x
  3. Step 3: Cross multiply
    68.06x = 127.78 × 127.78
  4. Step 4: Simplify right side
    68.06x = 16,328.05
  5. Step 5: Solve for x
    x = 16,328.05/68.06
  6. Step 6: Final answer
    x = 239.90

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.