Finding the Third Proportional to 428 and 825
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Solution
The third proportional to 428 and 825 is: 1,590.25
Step by Step Solution
- Step 1: Write the proportion equation
428 : 825 = 825 : x - Step 2: Convert to fraction form
428/825 = 825/x - Step 3: Cross multiply
428x = 825 × 825 - Step 4: Simplify right side
428x = 680,625 - Step 5: Solve for x
x = 680,625/428 - Step 6: Final answer
x = 1,590.25
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Why These Related Problems?
These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.