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Finding the Third Proportional to 412,879 and 638,104

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Solution

The third proportional to 412,879 and 638,104 is: 986,188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,879 : 638,104 = 638,104 : x
  2. Step 2: Convert to fraction form
    412,879/638,104 = 638,104/x
  3. Step 3: Cross multiply
    412,879x = 638,104 × 638,104
  4. Step 4: Simplify right side
    412,879x = 407,176,714,816
  5. Step 5: Solve for x
    x = 407,176,714,816/412,879
  6. Step 6: Final answer
    x = 986,188.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.