Finding the Third Proportional to 123 and 208
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Solution
The third proportional to 123 and 208 is: 351.74
Step by Step Solution
- Step 1: Write the proportion equation
123 : 208 = 208 : x - Step 2: Convert to fraction form
123/208 = 208/x - Step 3: Cross multiply
123x = 208 × 208 - Step 4: Simplify right side
123x = 43,264 - Step 5: Solve for x
x = 43,264/123 - Step 6: Final answer
x = 351.74
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These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.