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Finding the Third Proportional to 311,094 and 681,804

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Solution

The third proportional to 311,094 and 681,804 is: 1,494,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,094 : 681,804 = 681,804 : x
  2. Step 2: Convert to fraction form
    311,094/681,804 = 681,804/x
  3. Step 3: Cross multiply
    311,094x = 681,804 × 681,804
  4. Step 4: Simplify right side
    311,094x = 464,856,694,416
  5. Step 5: Solve for x
    x = 464,856,694,416/311,094
  6. Step 6: Final answer
    x = 1,494,264.42

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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.