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Finding the Third Proportional to 311,844 and 685,060

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Solution

The third proportional to 311,844 and 685,060 is: 1,504,942.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,844 : 685,060 = 685,060 : x
  2. Step 2: Convert to fraction form
    311,844/685,060 = 685,060/x
  3. Step 3: Cross multiply
    311,844x = 685,060 × 685,060
  4. Step 4: Simplify right side
    311,844x = 469,307,203,600
  5. Step 5: Solve for x
    x = 469,307,203,600/311,844
  6. Step 6: Final answer
    x = 1,504,942.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.