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Finding the Third Proportional to 312.25 and 467.75

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Solution

The third proportional to 312.25 and 467.75 is: 700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.25 : 467.75 = 467.75 : x
  2. Step 2: Convert to fraction form
    312.25/467.75 = 467.75/x
  3. Step 3: Cross multiply
    312.25x = 467.75 × 467.75
  4. Step 4: Simplify right side
    312.25x = 218,790.06
  5. Step 5: Solve for x
    x = 218,790.06/312.25
  6. Step 6: Final answer
    x = 700.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.