Finding the Third Proportional to 1,161.13 and 1,821.19
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Solution
The third proportional to 1,161.13 and 1,821.19 is: 2,856.47
Step by Step Solution
- Step 1: Write the proportion equation
1,161.13 : 1,821.19 = 1,821.19 : x - Step 2: Convert to fraction form
1,161.13/1,821.19 = 1,821.19/x - Step 3: Cross multiply
1,161.13x = 1,821.19 × 1,821.19 - Step 4: Simplify right side
1,161.13x = 3,316,723.91 - Step 5: Solve for x
x = 3,316,723.91/1,161.13 - Step 6: Final answer
x = 2,856.47
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.