Finding the Third Proportional to 228 and 458
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Solution
The third proportional to 228 and 458 is: 920.02
Step by Step Solution
- Step 1: Write the proportion equation
228 : 458 = 458 : x - Step 2: Convert to fraction form
228/458 = 458/x - Step 3: Cross multiply
228x = 458 × 458 - Step 4: Simplify right side
228x = 209,764 - Step 5: Solve for x
x = 209,764/228 - Step 6: Final answer
x = 920.02
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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.