Finding the Third Proportional to 722 and 1,948
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Solution
The third proportional to 722 and 1,948 is: 5,255.82
Step by Step Solution
- Step 1: Write the proportion equation
722 : 1,948 = 1,948 : x - Step 2: Convert to fraction form
722/1,948 = 1,948/x - Step 3: Cross multiply
722x = 1,948 × 1,948 - Step 4: Simplify right side
722x = 3,794,704 - Step 5: Solve for x
x = 3,794,704/722 - Step 6: Final answer
x = 5,255.82
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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.