Finding the Third Proportional to 138 and 336
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Solution
The third proportional to 138 and 336 is: 818.09
Step by Step Solution
- Step 1: Write the proportion equation
138 : 336 = 336 : x - Step 2: Convert to fraction form
138/336 = 336/x - Step 3: Cross multiply
138x = 336 × 336 - Step 4: Simplify right side
138x = 112,896 - Step 5: Solve for x
x = 112,896/138 - Step 6: Final answer
x = 818.09
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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.