Finding the Third Proportional to 796.50 and 1,836
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Solution
The third proportional to 796.50 and 1,836 is: 4,232.14
Step by Step Solution
- Step 1: Write the proportion equation
796.50 : 1,836 = 1,836 : x - Step 2: Convert to fraction form
796.50/1,836 = 1,836/x - Step 3: Cross multiply
796.50x = 1,836 × 1,836 - Step 4: Simplify right side
796.50x = 3,370,896 - Step 5: Solve for x
x = 3,370,896/796.50 - Step 6: Final answer
x = 4,232.14
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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.