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Finding the Third Proportional to 311,665.50 and 682,446.75

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Solution

The third proportional to 311,665.50 and 682,446.75 is: 1,494,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,665.50 : 682,446.75 = 682,446.75 : x
  2. Step 2: Convert to fraction form
    311,665.50/682,446.75 = 682,446.75/x
  3. Step 3: Cross multiply
    311,665.50x = 682,446.75 × 682,446.75
  4. Step 4: Simplify right side
    311,665.50x = 465,733,566,585.56
  5. Step 5: Solve for x
    x = 465,733,566,585.56/311,665.50
  6. Step 6: Final answer
    x = 1,494,337.89

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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.