Finding the Third Proportional to 218,382.75 and 463,005.75
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Solution
The third proportional to 218,382.75 and 463,005.75 is: 981,644.95
Step by Step Solution
- Step 1: Write the proportion equation
218,382.75 : 463,005.75 = 463,005.75 : x - Step 2: Convert to fraction form
218,382.75/463,005.75 = 463,005.75/x - Step 3: Cross multiply
218,382.75x = 463,005.75 × 463,005.75 - Step 4: Simplify right side
218,382.75x = 214,374,324,533.06 - Step 5: Solve for x
x = 214,374,324,533.06/218,382.75 - Step 6: Final answer
x = 981,644.95
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.