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Finding the Third Proportional to 518.94 and 776.69

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Solution

The third proportional to 518.94 and 776.69 is: 1,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.94 : 776.69 = 776.69 : x
  2. Step 2: Convert to fraction form
    518.94/776.69 = 776.69/x
  3. Step 3: Cross multiply
    518.94x = 776.69 × 776.69
  4. Step 4: Simplify right side
    518.94x = 603,243.47
  5. Step 5: Solve for x
    x = 603,243.47/518.94
  6. Step 6: Final answer
    x = 1,162.46

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