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Finding the Third Proportional to 206,993.81 and 311,514.19

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Solution

The third proportional to 206,993.81 and 311,514.19 is: 468,811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,993.81 : 311,514.19 = 311,514.19 : x
  2. Step 2: Convert to fraction form
    206,993.81/311,514.19 = 311,514.19/x
  3. Step 3: Cross multiply
    206,993.81x = 311,514.19 × 311,514.19
  4. Step 4: Simplify right side
    206,993.81x = 97,041,089,013.79
  5. Step 5: Solve for x
    x = 97,041,089,013.79/206,993.81
  6. Step 6: Final answer
    x = 468,811.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.