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Finding the Third Proportional to 323.44 and 678.09

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Solution

The third proportional to 323.44 and 678.09 is: 1,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.44 : 678.09 = 678.09 : x
  2. Step 2: Convert to fraction form
    323.44/678.09 = 678.09/x
  3. Step 3: Cross multiply
    323.44x = 678.09 × 678.09
  4. Step 4: Simplify right side
    323.44x = 459,811.13
  5. Step 5: Solve for x
    x = 459,811.13/323.44
  6. Step 6: Final answer
    x = 1,421.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.