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Finding the Third Proportional to 771.56 and 1,644.38

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Solution

The third proportional to 771.56 and 1,644.38 is: 3,504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.56 : 1,644.38 = 1,644.38 : x
  2. Step 2: Convert to fraction form
    771.56/1,644.38 = 1,644.38/x
  3. Step 3: Cross multiply
    771.56x = 1,644.38 × 1,644.38
  4. Step 4: Simplify right side
    771.56x = 2,703,969.14
  5. Step 5: Solve for x
    x = 2,703,969.14/771.56
  6. Step 6: Final answer
    x = 3,504.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.