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Finding the Third Proportional to 140.88 and 326.94

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Solution

The third proportional to 140.88 and 326.94 is: 758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.88 : 326.94 = 326.94 : x
  2. Step 2: Convert to fraction form
    140.88/326.94 = 326.94/x
  3. Step 3: Cross multiply
    140.88x = 326.94 × 326.94
  4. Step 4: Simplify right side
    140.88x = 106,888.13
  5. Step 5: Solve for x
    x = 106,888.13/140.88
  6. Step 6: Final answer
    x = 758.74

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.