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Finding the Third Proportional to 289,245.94 and 622,940.94

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Solution

The third proportional to 289,245.94 and 622,940.94 is: 1,341,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,245.94 : 622,940.94 = 622,940.94 : x
  2. Step 2: Convert to fraction form
    289,245.94/622,940.94 = 622,940.94/x
  3. Step 3: Cross multiply
    289,245.94x = 622,940.94 × 622,940.94
  4. Step 4: Simplify right side
    289,245.94x = 388,055,416,480.11
  5. Step 5: Solve for x
    x = 388,055,416,480.11/289,245.94
  6. Step 6: Final answer
    x = 1,341,610.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.