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Finding the Third Proportional to 312.25 and 355.75

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Solution

The third proportional to 312.25 and 355.75 is: 405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.25 : 355.75 = 355.75 : x
  2. Step 2: Convert to fraction form
    312.25/355.75 = 355.75/x
  3. Step 3: Cross multiply
    312.25x = 355.75 × 355.75
  4. Step 4: Simplify right side
    312.25x = 126,558.06
  5. Step 5: Solve for x
    x = 126,558.06/312.25
  6. Step 6: Final answer
    x = 405.31

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.