Finding the Third Proportional to 864 and 1,954
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Solution
The third proportional to 864 and 1,954 is: 4,419.12
Step by Step Solution
- Step 1: Write the proportion equation
864 : 1,954 = 1,954 : x - Step 2: Convert to fraction form
864/1,954 = 1,954/x - Step 3: Cross multiply
864x = 1,954 × 1,954 - Step 4: Simplify right side
864x = 3,818,116 - Step 5: Solve for x
x = 3,818,116/864 - Step 6: Final answer
x = 4,419.12
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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.