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Finding the Third Proportional to 3,458,457 and 5,198,823

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Solution

The third proportional to 3,458,457 and 5,198,823 is: 7,814,976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458,457 : 5,198,823 = 5,198,823 : x
  2. Step 2: Convert to fraction form
    3,458,457/5,198,823 = 5,198,823/x
  3. Step 3: Cross multiply
    3,458,457x = 5,198,823 × 5,198,823
  4. Step 4: Simplify right side
    3,458,457x = 27,027,760,585,329
  5. Step 5: Solve for x
    x = 27,027,760,585,329/3,458,457
  6. Step 6: Final answer
    x = 7,814,976.62

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Why These Related Problems?

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