Finding the Third Proportional to 256 and 557
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Solution
The third proportional to 256 and 557 is: 1,211.91
Step by Step Solution
- Step 1: Write the proportion equation
256 : 557 = 557 : x - Step 2: Convert to fraction form
256/557 = 557/x - Step 3: Cross multiply
256x = 557 × 557 - Step 4: Simplify right side
256x = 310,249 - Step 5: Solve for x
x = 310,249/256 - Step 6: Final answer
x = 1,211.91
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.