Finding the Third Proportional to 1,617 and 3,546
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Solution
The third proportional to 1,617 and 3,546 is: 7,776.20
Step by Step Solution
- Step 1: Write the proportion equation
1,617 : 3,546 = 3,546 : x - Step 2: Convert to fraction form
1,617/3,546 = 3,546/x - Step 3: Cross multiply
1,617x = 3,546 × 3,546 - Step 4: Simplify right side
1,617x = 12,574,116 - Step 5: Solve for x
x = 12,574,116/1,617 - Step 6: Final answer
x = 7,776.20
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.