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Finding the Third Proportional to 67.79 and 140.41

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Solution

The third proportional to 67.79 and 140.41 is: 290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.79 : 140.41 = 140.41 : x
  2. Step 2: Convert to fraction form
    67.79/140.41 = 140.41/x
  3. Step 3: Cross multiply
    67.79x = 140.41 × 140.41
  4. Step 4: Simplify right side
    67.79x = 19,713.64
  5. Step 5: Solve for x
    x = 19,713.64/67.79
  6. Step 6: Final answer
    x = 290.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.