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Finding the Third Proportional to 311,647.50 and 682,617.38

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Solution

The third proportional to 311,647.50 and 682,617.38 is: 1,495,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,647.50 : 682,617.38 = 682,617.38 : x
  2. Step 2: Convert to fraction form
    311,647.50/682,617.38 = 682,617.38/x
  3. Step 3: Cross multiply
    311,647.50x = 682,617.38 × 682,617.38
  4. Step 4: Simplify right side
    311,647.50x = 465,966,480,651.89
  5. Step 5: Solve for x
    x = 465,966,480,651.89/311,647.50
  6. Step 6: Final answer
    x = 1,495,171.57

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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.