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Finding the Third Proportional to 127.44 and 198.06

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Solution

The third proportional to 127.44 and 198.06 is: 307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.44 : 198.06 = 198.06 : x
  2. Step 2: Convert to fraction form
    127.44/198.06 = 198.06/x
  3. Step 3: Cross multiply
    127.44x = 198.06 × 198.06
  4. Step 4: Simplify right side
    127.44x = 39,228.75
  5. Step 5: Solve for x
    x = 39,228.75/127.44
  6. Step 6: Final answer
    x = 307.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.