Finding the Third Proportional to 202,845.75 and 288,321.75
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Solution
The third proportional to 202,845.75 and 288,321.75 is: 409,815.99
Step by Step Solution
- Step 1: Write the proportion equation
202,845.75 : 288,321.75 = 288,321.75 : x - Step 2: Convert to fraction form
202,845.75/288,321.75 = 288,321.75/x - Step 3: Cross multiply
202,845.75x = 288,321.75 × 288,321.75 - Step 4: Simplify right side
202,845.75x = 83,129,431,523.06 - Step 5: Solve for x
x = 83,129,431,523.06/202,845.75 - Step 6: Final answer
x = 409,815.99
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.