Finding the Third Proportional to 715 and 1,119
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Solution
The third proportional to 715 and 1,119 is: 1,751.27
Step by Step Solution
- Step 1: Write the proportion equation
715 : 1,119 = 1,119 : x - Step 2: Convert to fraction form
715/1,119 = 1,119/x - Step 3: Cross multiply
715x = 1,119 × 1,119 - Step 4: Simplify right side
715x = 1,252,161 - Step 5: Solve for x
x = 1,252,161/715 - Step 6: Final answer
x = 1,751.27
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.