Finding the Third Proportional to 1,198.13 and 2,618.75
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Solution
The third proportional to 1,198.13 and 2,618.75 is: 5,723.82
Step by Step Solution
- Step 1: Write the proportion equation
1,198.13 : 2,618.75 = 2,618.75 : x - Step 2: Convert to fraction form
1,198.13/2,618.75 = 2,618.75/x - Step 3: Cross multiply
1,198.13x = 2,618.75 × 2,618.75 - Step 4: Simplify right side
1,198.13x = 6,857,851.56 - Step 5: Solve for x
x = 6,857,851.56/1,198.13 - Step 6: Final answer
x = 5,723.82
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.