Finding the Third Proportional to 205.50 and 407
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Solution
The third proportional to 205.50 and 407 is: 806.08
Step by Step Solution
- Step 1: Write the proportion equation
205.50 : 407 = 407 : x - Step 2: Convert to fraction form
205.50/407 = 407/x - Step 3: Cross multiply
205.50x = 407 × 407 - Step 4: Simplify right side
205.50x = 165,649 - Step 5: Solve for x
x = 165,649/205.50 - Step 6: Final answer
x = 806.08
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Why These Related Problems?
These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.