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Finding the Third Proportional to 518.97 and 771.07

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Solution

The third proportional to 518.97 and 771.07 is: 1,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.97 : 771.07 = 771.07 : x
  2. Step 2: Convert to fraction form
    518.97/771.07 = 771.07/x
  3. Step 3: Cross multiply
    518.97x = 771.07 × 771.07
  4. Step 4: Simplify right side
    518.97x = 594,546.41
  5. Step 5: Solve for x
    x = 594,546.41/518.97
  6. Step 6: Final answer
    x = 1,145.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.