Finding the Third Proportional to 208 and 456
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Solution
The third proportional to 208 and 456 is: 999.69
Step by Step Solution
- Step 1: Write the proportion equation
208 : 456 = 456 : x - Step 2: Convert to fraction form
208/456 = 456/x - Step 3: Cross multiply
208x = 456 × 456 - Step 4: Simplify right side
208x = 207,936 - Step 5: Solve for x
x = 207,936/208 - Step 6: Final answer
x = 999.69
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.