Finding the Third Proportional to 750 and 1,161
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Solution
The third proportional to 750 and 1,161 is: 1,797.23
Step by Step Solution
- Step 1: Write the proportion equation
750 : 1,161 = 1,161 : x - Step 2: Convert to fraction form
750/1,161 = 1,161/x - Step 3: Cross multiply
750x = 1,161 × 1,161 - Step 4: Simplify right side
750x = 1,347,921 - Step 5: Solve for x
x = 1,347,921/750 - Step 6: Final answer
x = 1,797.23
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.