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Finding the Third Proportional to 311,706 and 681,741

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Solution

The third proportional to 311,706 and 681,741 is: 1,491,055.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,706 : 681,741 = 681,741 : x
  2. Step 2: Convert to fraction form
    311,706/681,741 = 681,741/x
  3. Step 3: Cross multiply
    311,706x = 681,741 × 681,741
  4. Step 4: Simplify right side
    311,706x = 464,770,791,081
  5. Step 5: Solve for x
    x = 464,770,791,081/311,706
  6. Step 6: Final answer
    x = 1,491,055.00

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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.