Finding the Third Proportional to 204,216.75 and 285,639.75
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Solution
The third proportional to 204,216.75 and 285,639.75 is: 399,526.81
Step by Step Solution
- Step 1: Write the proportion equation
204,216.75 : 285,639.75 = 285,639.75 : x - Step 2: Convert to fraction form
204,216.75/285,639.75 = 285,639.75/x - Step 3: Cross multiply
204,216.75x = 285,639.75 × 285,639.75 - Step 4: Simplify right side
204,216.75x = 81,590,066,780.06 - Step 5: Solve for x
x = 81,590,066,780.06/204,216.75 - Step 6: Final answer
x = 399,526.81
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.