Finding the Third Proportional to 841 and 1,827
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Solution
The third proportional to 841 and 1,827 is: 3,969
Step by Step Solution
- Step 1: Write the proportion equation
841 : 1,827 = 1,827 : x - Step 2: Convert to fraction form
841/1,827 = 1,827/x - Step 3: Cross multiply
841x = 1,827 × 1,827 - Step 4: Simplify right side
841x = 3,337,929 - Step 5: Solve for x
x = 3,337,929/841 - Step 6: Final answer
x = 3,969
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.