Finding the Third Proportional to 699 and 1,123
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Solution
The third proportional to 699 and 1,123 is: 1,804.19
Step by Step Solution
- Step 1: Write the proportion equation
699 : 1,123 = 1,123 : x - Step 2: Convert to fraction form
699/1,123 = 1,123/x - Step 3: Cross multiply
699x = 1,123 × 1,123 - Step 4: Simplify right side
699x = 1,261,129 - Step 5: Solve for x
x = 1,261,129/699 - Step 6: Final answer
x = 1,804.19
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.