Finding the Third Proportional to 762 and 1,878
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Solution
The third proportional to 762 and 1,878 is: 4,628.46
Step by Step Solution
- Step 1: Write the proportion equation
762 : 1,878 = 1,878 : x - Step 2: Convert to fraction form
762/1,878 = 1,878/x - Step 3: Cross multiply
762x = 1,878 × 1,878 - Step 4: Simplify right side
762x = 3,526,884 - Step 5: Solve for x
x = 3,526,884/762 - Step 6: Final answer
x = 4,628.46
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Why These Related Problems?
These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.