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Finding the Third Proportional to 66.75 and 127.88

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Solution

The third proportional to 66.75 and 127.88 is: 244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.75 : 127.88 = 127.88 : x
  2. Step 2: Convert to fraction form
    66.75/127.88 = 127.88/x
  3. Step 3: Cross multiply
    66.75x = 127.88 × 127.88
  4. Step 4: Simplify right side
    66.75x = 16,352.02
  5. Step 5: Solve for x
    x = 16,352.02/66.75
  6. Step 6: Final answer
    x = 244.97

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.