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Finding the Third Proportional to 308.38 and 664.94

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Solution

The third proportional to 308.38 and 664.94 is: 1,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.38 : 664.94 = 664.94 : x
  2. Step 2: Convert to fraction form
    308.38/664.94 = 664.94/x
  3. Step 3: Cross multiply
    308.38x = 664.94 × 664.94
  4. Step 4: Simplify right side
    308.38x = 442,141.88
  5. Step 5: Solve for x
    x = 442,141.88/308.38
  6. Step 6: Final answer
    x = 1,433.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.