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Finding the Third Proportional to 823.57 and 1,773.07

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Solution

The third proportional to 823.57 and 1,773.07 is: 3,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.57 : 1,773.07 = 1,773.07 : x
  2. Step 2: Convert to fraction form
    823.57/1,773.07 = 1,773.07/x
  3. Step 3: Cross multiply
    823.57x = 1,773.07 × 1,773.07
  4. Step 4: Simplify right side
    823.57x = 3,143,778.33
  5. Step 5: Solve for x
    x = 3,143,778.33/823.57
  6. Step 6: Final answer
    x = 3,817.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.