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Finding the Third Proportional to 825.38 and 1,629.75

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Solution

The third proportional to 825.38 and 1,629.75 is: 3,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.38 : 1,629.75 = 1,629.75 : x
  2. Step 2: Convert to fraction form
    825.38/1,629.75 = 1,629.75/x
  3. Step 3: Cross multiply
    825.38x = 1,629.75 × 1,629.75
  4. Step 4: Simplify right side
    825.38x = 2,656,085.06
  5. Step 5: Solve for x
    x = 2,656,085.06/825.38
  6. Step 6: Final answer
    x = 3,218.03

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.