Finding the Third Proportional to 1,728 and 2,952
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Solution
The third proportional to 1,728 and 2,952 is: 5,043
Step by Step Solution
- Step 1: Write the proportion equation
1,728 : 2,952 = 2,952 : x - Step 2: Convert to fraction form
1,728/2,952 = 2,952/x - Step 3: Cross multiply
1,728x = 2,952 × 2,952 - Step 4: Simplify right side
1,728x = 8,714,304 - Step 5: Solve for x
x = 8,714,304/1,728 - Step 6: Final answer
x = 5,043
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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.