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Finding the Third Proportional to 778.36 and 1,644.05

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Solution

The third proportional to 778.36 and 1,644.05 is: 3,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.36 : 1,644.05 = 1,644.05 : x
  2. Step 2: Convert to fraction form
    778.36/1,644.05 = 1,644.05/x
  3. Step 3: Cross multiply
    778.36x = 1,644.05 × 1,644.05
  4. Step 4: Simplify right side
    778.36x = 2,702,890.13
  5. Step 5: Solve for x
    x = 2,702,890.13/778.36
  6. Step 6: Final answer
    x = 3,472.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.