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Finding the Third Proportional to 378.81 and 827.94

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Solution

The third proportional to 378.81 and 827.94 is: 1,809.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.81 : 827.94 = 827.94 : x
  2. Step 2: Convert to fraction form
    378.81/827.94 = 827.94/x
  3. Step 3: Cross multiply
    378.81x = 827.94 × 827.94
  4. Step 4: Simplify right side
    378.81x = 685,480.50
  5. Step 5: Solve for x
    x = 685,480.50/378.81
  6. Step 6: Final answer
    x = 1,809.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.