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Finding the Third Proportional to 372.94 and 828.09

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Solution

The third proportional to 372.94 and 828.09 is: 1,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.94 : 828.09 = 828.09 : x
  2. Step 2: Convert to fraction form
    372.94/828.09 = 828.09/x
  3. Step 3: Cross multiply
    372.94x = 828.09 × 828.09
  4. Step 4: Simplify right side
    372.94x = 685,739.26
  5. Step 5: Solve for x
    x = 685,739.26/372.94
  6. Step 6: Final answer
    x = 1,838.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.