Finding the Third Proportional to 204 and 208
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Solution
The third proportional to 204 and 208 is: 212.08
Step by Step Solution
- Step 1: Write the proportion equation
204 : 208 = 208 : x - Step 2: Convert to fraction form
204/208 = 208/x - Step 3: Cross multiply
204x = 208 × 208 - Step 4: Simplify right side
204x = 43,264 - Step 5: Solve for x
x = 43,264/204 - Step 6: Final answer
x = 212.08
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Why These Related Problems?
These problems maintain the same ratio (1.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.