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Finding the Third Proportional to 86.94 and 128.84

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Solution

The third proportional to 86.94 and 128.84 is: 190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.94 : 128.84 = 128.84 : x
  2. Step 2: Convert to fraction form
    86.94/128.84 = 128.84/x
  3. Step 3: Cross multiply
    86.94x = 128.84 × 128.84
  4. Step 4: Simplify right side
    86.94x = 16,600.71
  5. Step 5: Solve for x
    x = 16,600.71/86.94
  6. Step 6: Final answer
    x = 190.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.