Finding the Third Proportional to 860 and 1,896
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Solution
The third proportional to 860 and 1,896 is: 4,180.02
Step by Step Solution
- Step 1: Write the proportion equation
860 : 1,896 = 1,896 : x - Step 2: Convert to fraction form
860/1,896 = 1,896/x - Step 3: Cross multiply
860x = 1,896 × 1,896 - Step 4: Simplify right side
860x = 3,594,816 - Step 5: Solve for x
x = 3,594,816/860 - Step 6: Final answer
x = 4,180.02
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.