Finding the Third Proportional to 870 and 2,036
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Solution
The third proportional to 870 and 2,036 is: 4,764.71
Step by Step Solution
- Step 1: Write the proportion equation
870 : 2,036 = 2,036 : x - Step 2: Convert to fraction form
870/2,036 = 2,036/x - Step 3: Cross multiply
870x = 2,036 × 2,036 - Step 4: Simplify right side
870x = 4,145,296 - Step 5: Solve for x
x = 4,145,296/870 - Step 6: Final answer
x = 4,764.71
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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.