Finding the Third Proportional to 854 and 1,651
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Solution
The third proportional to 854 and 1,651 is: 3,191.80
Step by Step Solution
- Step 1: Write the proportion equation
854 : 1,651 = 1,651 : x - Step 2: Convert to fraction form
854/1,651 = 1,651/x - Step 3: Cross multiply
854x = 1,651 × 1,651 - Step 4: Simplify right side
854x = 2,725,801 - Step 5: Solve for x
x = 2,725,801/854 - Step 6: Final answer
x = 3,191.80
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Why These Related Problems?
These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.