Finding the Third Proportional to 864 and 2,016
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Solution
The third proportional to 864 and 2,016 is: 4,704
Step by Step Solution
- Step 1: Write the proportion equation
864 : 2,016 = 2,016 : x - Step 2: Convert to fraction form
864/2,016 = 2,016/x - Step 3: Cross multiply
864x = 2,016 × 2,016 - Step 4: Simplify right side
864x = 4,064,256 - Step 5: Solve for x
x = 4,064,256/864 - Step 6: Final answer
x = 4,704
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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.