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Finding the Third Proportional to 1,100,821 and 1,550,197

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Solution

The third proportional to 1,100,821 and 1,550,197 is: 2,183,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,821 : 1,550,197 = 1,550,197 : x
  2. Step 2: Convert to fraction form
    1,100,821/1,550,197 = 1,550,197/x
  3. Step 3: Cross multiply
    1,100,821x = 1,550,197 × 1,550,197
  4. Step 4: Simplify right side
    1,100,821x = 2,403,110,738,809
  5. Step 5: Solve for x
    x = 2,403,110,738,809/1,100,821
  6. Step 6: Final answer
    x = 2,183,016.80

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.