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Finding the Third Proportional to 300.94 and 440.96

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Solution

The third proportional to 300.94 and 440.96 is: 646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.94 : 440.96 = 440.96 : x
  2. Step 2: Convert to fraction form
    300.94/440.96 = 440.96/x
  3. Step 3: Cross multiply
    300.94x = 440.96 × 440.96
  4. Step 4: Simplify right side
    300.94x = 194,449.99
  5. Step 5: Solve for x
    x = 194,449.99/300.94
  6. Step 6: Final answer
    x = 646.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.