Finding the Third Proportional to 204,108 and 316,809
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Solution
The third proportional to 204,108 and 316,809 is: 491,739.39
Step by Step Solution
- Step 1: Write the proportion equation
204,108 : 316,809 = 316,809 : x - Step 2: Convert to fraction form
204,108/316,809 = 316,809/x - Step 3: Cross multiply
204,108x = 316,809 × 316,809 - Step 4: Simplify right side
204,108x = 100,367,942,481 - Step 5: Solve for x
x = 100,367,942,481/204,108 - Step 6: Final answer
x = 491,739.39
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.