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Finding the Third Proportional to 128.75 and 200.97

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Solution

The third proportional to 128.75 and 200.97 is: 313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.75 : 200.97 = 200.97 : x
  2. Step 2: Convert to fraction form
    128.75/200.97 = 200.97/x
  3. Step 3: Cross multiply
    128.75x = 200.97 × 200.97
  4. Step 4: Simplify right side
    128.75x = 40,388.44
  5. Step 5: Solve for x
    x = 40,388.44/128.75
  6. Step 6: Final answer
    x = 313.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.