Finding the Third Proportional to 846 and 1,425
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Solution
The third proportional to 846 and 1,425 is: 2,400.27
Step by Step Solution
- Step 1: Write the proportion equation
846 : 1,425 = 1,425 : x - Step 2: Convert to fraction form
846/1,425 = 1,425/x - Step 3: Cross multiply
846x = 1,425 × 1,425 - Step 4: Simplify right side
846x = 2,030,625 - Step 5: Solve for x
x = 2,030,625/846 - Step 6: Final answer
x = 2,400.27
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Why These Related Problems?
These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.