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Finding the Third Proportional to 128.88 and 199.94

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Solution

The third proportional to 128.88 and 199.94 is: 310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.88 : 199.94 = 199.94 : x
  2. Step 2: Convert to fraction form
    128.88/199.94 = 199.94/x
  3. Step 3: Cross multiply
    128.88x = 199.94 × 199.94
  4. Step 4: Simplify right side
    128.88x = 39,975.00
  5. Step 5: Solve for x
    x = 39,975.00/128.88
  6. Step 6: Final answer
    x = 310.18

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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.