Finding the Third Proportional to 993 and 1,149
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Solution
The third proportional to 993 and 1,149 is: 1,329.51
Step by Step Solution
- Step 1: Write the proportion equation
993 : 1,149 = 1,149 : x - Step 2: Convert to fraction form
993/1,149 = 1,149/x - Step 3: Cross multiply
993x = 1,149 × 1,149 - Step 4: Simplify right side
993x = 1,320,201 - Step 5: Solve for x
x = 1,320,201/993 - Step 6: Final answer
x = 1,329.51
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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.