Finding the Third Proportional to 206 and 494.50
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Solution
The third proportional to 206 and 494.50 is: 1,187.04
Step by Step Solution
- Step 1: Write the proportion equation
206 : 494.50 = 494.50 : x - Step 2: Convert to fraction form
206/494.50 = 494.50/x - Step 3: Cross multiply
206x = 494.50 × 494.50 - Step 4: Simplify right side
206x = 244,530.25 - Step 5: Solve for x
x = 244,530.25/206 - Step 6: Final answer
x = 1,187.04
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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.