Finding the Third Proportional to 772 and 1,837
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Solution
The third proportional to 772 and 1,837 is: 4,371.20
Step by Step Solution
- Step 1: Write the proportion equation
772 : 1,837 = 1,837 : x - Step 2: Convert to fraction form
772/1,837 = 1,837/x - Step 3: Cross multiply
772x = 1,837 × 1,837 - Step 4: Simplify right side
772x = 3,374,569 - Step 5: Solve for x
x = 3,374,569/772 - Step 6: Final answer
x = 4,371.20
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Why These Related Problems?
These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.