Finding the Third Proportional to 206,220.94 and 311,406.19
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Solution
The third proportional to 206,220.94 and 311,406.19 is: 470,242.33
Step by Step Solution
- Step 1: Write the proportion equation
206,220.94 : 311,406.19 = 311,406.19 : x - Step 2: Convert to fraction form
206,220.94/311,406.19 = 311,406.19/x - Step 3: Cross multiply
206,220.94x = 311,406.19 × 311,406.19 - Step 4: Simplify right side
206,220.94x = 96,973,813,613.29 - Step 5: Solve for x
x = 96,973,813,613.29/206,220.94 - Step 6: Final answer
x = 470,242.33
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.