Finding the Third Proportional to 206 and 415
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Solution
The third proportional to 206 and 415 is: 836.04
Step by Step Solution
- Step 1: Write the proportion equation
206 : 415 = 415 : x - Step 2: Convert to fraction form
206/415 = 415/x - Step 3: Cross multiply
206x = 415 × 415 - Step 4: Simplify right side
206x = 172,225 - Step 5: Solve for x
x = 172,225/206 - Step 6: Final answer
x = 836.04
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Why These Related Problems?
These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.