Finding the Third Proportional to 243 and 405
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Solution
The third proportional to 243 and 405 is: 675
Step by Step Solution
- Step 1: Write the proportion equation
243 : 405 = 405 : x - Step 2: Convert to fraction form
243/405 = 405/x - Step 3: Cross multiply
243x = 405 × 405 - Step 4: Simplify right side
243x = 164,025 - Step 5: Solve for x
x = 164,025/243 - Step 6: Final answer
x = 675
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Why These Related Problems?
These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.