Finding the Third Proportional to 854 and 1,902
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Solution
The third proportional to 854 and 1,902 is: 4,236.07
Step by Step Solution
- Step 1: Write the proportion equation
854 : 1,902 = 1,902 : x - Step 2: Convert to fraction form
854/1,902 = 1,902/x - Step 3: Cross multiply
854x = 1,902 × 1,902 - Step 4: Simplify right side
854x = 3,617,604 - Step 5: Solve for x
x = 3,617,604/854 - Step 6: Final answer
x = 4,236.07
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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.