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Finding the Third Proportional to 308.25 and 336

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Solution

The third proportional to 308.25 and 336 is: 366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.25 : 336 = 336 : x
  2. Step 2: Convert to fraction form
    308.25/336 = 336/x
  3. Step 3: Cross multiply
    308.25x = 336 × 336
  4. Step 4: Simplify right side
    308.25x = 112,896
  5. Step 5: Solve for x
    x = 112,896/308.25
  6. Step 6: Final answer
    x = 366.25

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.