Finding the Third Proportional to 820 and 948
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Solution
The third proportional to 820 and 948 is: 1,095.98
Step by Step Solution
- Step 1: Write the proportion equation
820 : 948 = 948 : x - Step 2: Convert to fraction form
820/948 = 948/x - Step 3: Cross multiply
820x = 948 × 948 - Step 4: Simplify right side
820x = 898,704 - Step 5: Solve for x
x = 898,704/820 - Step 6: Final answer
x = 1,095.98
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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.