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Finding the Third Proportional to 579.84 and 640.73

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Solution

The third proportional to 579.84 and 640.73 is: 708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.84 : 640.73 = 640.73 : x
  2. Step 2: Convert to fraction form
    579.84/640.73 = 640.73/x
  3. Step 3: Cross multiply
    579.84x = 640.73 × 640.73
  4. Step 4: Simplify right side
    579.84x = 410,540.54
  5. Step 5: Solve for x
    x = 410,540.54/579.84
  6. Step 6: Final answer
    x = 708.02

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.