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Finding the Third Proportional to 362,196 and 796,104

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Solution

The third proportional to 362,196 and 796,104 is: 1,749,830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,196 : 796,104 = 796,104 : x
  2. Step 2: Convert to fraction form
    362,196/796,104 = 796,104/x
  3. Step 3: Cross multiply
    362,196x = 796,104 × 796,104
  4. Step 4: Simplify right side
    362,196x = 633,781,578,816
  5. Step 5: Solve for x
    x = 633,781,578,816/362,196
  6. Step 6: Final answer
    x = 1,749,830.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.