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Finding the Third Proportional to 205,919.75 and 451,205.50

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Solution

The third proportional to 205,919.75 and 451,205.50 is: 988,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,919.75 : 451,205.50 = 451,205.50 : x
  2. Step 2: Convert to fraction form
    205,919.75/451,205.50 = 451,205.50/x
  3. Step 3: Cross multiply
    205,919.75x = 451,205.50 × 451,205.50
  4. Step 4: Simplify right side
    205,919.75x = 203,586,403,230.25
  5. Step 5: Solve for x
    x = 203,586,403,230.25/205,919.75
  6. Step 6: Final answer
    x = 988,668.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.