Finding the Third Proportional to 832 and 1,679
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Solution
The third proportional to 832 and 1,679 is: 3,388.27
Step by Step Solution
- Step 1: Write the proportion equation
832 : 1,679 = 1,679 : x - Step 2: Convert to fraction form
832/1,679 = 1,679/x - Step 3: Cross multiply
832x = 1,679 × 1,679 - Step 4: Simplify right side
832x = 2,819,041 - Step 5: Solve for x
x = 2,819,041/832 - Step 6: Final answer
x = 3,388.27
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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.