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Finding the Third Proportional to 812.94 and 1,808.34

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Solution

The third proportional to 812.94 and 1,808.34 is: 4,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.94 : 1,808.34 = 1,808.34 : x
  2. Step 2: Convert to fraction form
    812.94/1,808.34 = 1,808.34/x
  3. Step 3: Cross multiply
    812.94x = 1,808.34 × 1,808.34
  4. Step 4: Simplify right side
    812.94x = 3,270,107.12
  5. Step 5: Solve for x
    x = 3,270,107.12/812.94
  6. Step 6: Final answer
    x = 4,022.58

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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.