Finding the Third Proportional to 916 and 1,994
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Solution
The third proportional to 916 and 1,994 is: 4,340.65
Step by Step Solution
- Step 1: Write the proportion equation
916 : 1,994 = 1,994 : x - Step 2: Convert to fraction form
916/1,994 = 1,994/x - Step 3: Cross multiply
916x = 1,994 × 1,994 - Step 4: Simplify right side
916x = 3,976,036 - Step 5: Solve for x
x = 3,976,036/916 - Step 6: Final answer
x = 4,340.65
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.