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Finding the Third Proportional to 67.94 and 98.09

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Solution

The third proportional to 67.94 and 98.09 is: 141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.94 : 98.09 = 98.09 : x
  2. Step 2: Convert to fraction form
    67.94/98.09 = 98.09/x
  3. Step 3: Cross multiply
    67.94x = 98.09 × 98.09
  4. Step 4: Simplify right side
    67.94x = 9,622.38
  5. Step 5: Solve for x
    x = 9,622.38/67.94
  6. Step 6: Final answer
    x = 141.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.