Finding the Third Proportional to 850 and 1,715
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Solution
The third proportional to 850 and 1,715 is: 3,460.26
Step by Step Solution
- Step 1: Write the proportion equation
850 : 1,715 = 1,715 : x - Step 2: Convert to fraction form
850/1,715 = 1,715/x - Step 3: Cross multiply
850x = 1,715 × 1,715 - Step 4: Simplify right side
850x = 2,941,225 - Step 5: Solve for x
x = 2,941,225/850 - Step 6: Final answer
x = 3,460.26
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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.