Finding the Third Proportional to 823 and 1,152
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Solution
The third proportional to 823 and 1,152 is: 1,612.52
Step by Step Solution
- Step 1: Write the proportion equation
823 : 1,152 = 1,152 : x - Step 2: Convert to fraction form
823/1,152 = 1,152/x - Step 3: Cross multiply
823x = 1,152 × 1,152 - Step 4: Simplify right side
823x = 1,327,104 - Step 5: Solve for x
x = 1,327,104/823 - Step 6: Final answer
x = 1,612.52
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.