Finding the Third Proportional to 583.86 and 1,243.40
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Solution
The third proportional to 583.86 and 1,243.40 is: 2,647.99
Step by Step Solution
- Step 1: Write the proportion equation
583.86 : 1,243.40 = 1,243.40 : x - Step 2: Convert to fraction form
583.86/1,243.40 = 1,243.40/x - Step 3: Cross multiply
583.86x = 1,243.40 × 1,243.40 - Step 4: Simplify right side
583.86x = 1,546,049.54 - Step 5: Solve for x
x = 1,546,049.54/583.86 - Step 6: Final answer
x = 2,647.99
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.