Finding the Third Proportional to 1,728 and 1,872
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Solution
The third proportional to 1,728 and 1,872 is: 2,028
Step by Step Solution
- Step 1: Write the proportion equation
1,728 : 1,872 = 1,872 : x - Step 2: Convert to fraction form
1,728/1,872 = 1,872/x - Step 3: Cross multiply
1,728x = 1,872 × 1,872 - Step 4: Simplify right side
1,728x = 3,504,384 - Step 5: Solve for x
x = 3,504,384/1,728 - Step 6: Final answer
x = 2,028
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.