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Finding the Third Proportional to 325.94 and 665.19

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Solution

The third proportional to 325.94 and 665.19 is: 1,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.94 : 665.19 = 665.19 : x
  2. Step 2: Convert to fraction form
    325.94/665.19 = 665.19/x
  3. Step 3: Cross multiply
    325.94x = 665.19 × 665.19
  4. Step 4: Simplify right side
    325.94x = 442,474.41
  5. Step 5: Solve for x
    x = 442,474.41/325.94
  6. Step 6: Final answer
    x = 1,357.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.