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Finding the Third Proportional to 140.97 and 305.69

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Solution

The third proportional to 140.97 and 305.69 is: 662.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.97 : 305.69 = 305.69 : x
  2. Step 2: Convert to fraction form
    140.97/305.69 = 305.69/x
  3. Step 3: Cross multiply
    140.97x = 305.69 × 305.69
  4. Step 4: Simplify right side
    140.97x = 93,444.85
  5. Step 5: Solve for x
    x = 93,444.85/140.97
  6. Step 6: Final answer
    x = 662.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.