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Finding the Third Proportional to 518.25 and 779.81

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Solution

The third proportional to 518.25 and 779.81 is: 1,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.25 : 779.81 = 779.81 : x
  2. Step 2: Convert to fraction form
    518.25/779.81 = 779.81/x
  3. Step 3: Cross multiply
    518.25x = 779.81 × 779.81
  4. Step 4: Simplify right side
    518.25x = 608,107.54
  5. Step 5: Solve for x
    x = 608,107.54/518.25
  6. Step 6: Final answer
    x = 1,173.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.