Finding the Third Proportional to 715 and 1,200
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Solution
The third proportional to 715 and 1,200 is: 2,013.99
Step by Step Solution
- Step 1: Write the proportion equation
715 : 1,200 = 1,200 : x - Step 2: Convert to fraction form
715/1,200 = 1,200/x - Step 3: Cross multiply
715x = 1,200 × 1,200 - Step 4: Simplify right side
715x = 1,440,000 - Step 5: Solve for x
x = 1,440,000/715 - Step 6: Final answer
x = 2,013.99
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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.