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Finding the Third Proportional to 1,100,814 and 1,550,204

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Solution

The third proportional to 1,100,814 and 1,550,204 is: 2,183,050.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,814 : 1,550,204 = 1,550,204 : x
  2. Step 2: Convert to fraction form
    1,100,814/1,550,204 = 1,550,204/x
  3. Step 3: Cross multiply
    1,100,814x = 1,550,204 × 1,550,204
  4. Step 4: Simplify right side
    1,100,814x = 2,403,132,441,616
  5. Step 5: Solve for x
    x = 2,403,132,441,616/1,100,814
  6. Step 6: Final answer
    x = 2,183,050.40

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Why These Related Problems?

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