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Finding the Third Proportional to 823.64 and 1,801.55

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Solution

The third proportional to 823.64 and 1,801.55 is: 3,940.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.64 : 1,801.55 = 1,801.55 : x
  2. Step 2: Convert to fraction form
    823.64/1,801.55 = 1,801.55/x
  3. Step 3: Cross multiply
    823.64x = 1,801.55 × 1,801.55
  4. Step 4: Simplify right side
    823.64x = 3,245,571.14
  5. Step 5: Solve for x
    x = 3,245,571.14/823.64
  6. Step 6: Final answer
    x = 3,940.52

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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.