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Finding the Third Proportional to 308.97 and 656.38

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Solution

The third proportional to 308.97 and 656.38 is: 1,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.97 : 656.38 = 656.38 : x
  2. Step 2: Convert to fraction form
    308.97/656.38 = 656.38/x
  3. Step 3: Cross multiply
    308.97x = 656.38 × 656.38
  4. Step 4: Simplify right side
    308.97x = 430,840.96
  5. Step 5: Solve for x
    x = 430,840.96/308.97
  6. Step 6: Final answer
    x = 1,394.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.