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Finding the Third Proportional to 128.94 and 305.84

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Solution

The third proportional to 128.94 and 305.84 is: 725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.94 : 305.84 = 305.84 : x
  2. Step 2: Convert to fraction form
    128.94/305.84 = 305.84/x
  3. Step 3: Cross multiply
    128.94x = 305.84 × 305.84
  4. Step 4: Simplify right side
    128.94x = 93,540.40
  5. Step 5: Solve for x
    x = 93,540.40/128.94
  6. Step 6: Final answer
    x = 725.47

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.