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Finding the Third Proportional to 776.78 and 1,644.36

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Solution

The third proportional to 776.78 and 1,644.36 is: 3,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.78 : 1,644.36 = 1,644.36 : x
  2. Step 2: Convert to fraction form
    776.78/1,644.36 = 1,644.36/x
  3. Step 3: Cross multiply
    776.78x = 1,644.36 × 1,644.36
  4. Step 4: Simplify right side
    776.78x = 2,703,930.60
  5. Step 5: Solve for x
    x = 2,703,930.60/776.78
  6. Step 6: Final answer
    x = 3,480.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.