Finding the Third Proportional to 680 and 1,567
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Solution
The third proportional to 680 and 1,567 is: 3,611.01
Step by Step Solution
- Step 1: Write the proportion equation
680 : 1,567 = 1,567 : x - Step 2: Convert to fraction form
680/1,567 = 1,567/x - Step 3: Cross multiply
680x = 1,567 × 1,567 - Step 4: Simplify right side
680x = 2,455,489 - Step 5: Solve for x
x = 2,455,489/680 - Step 6: Final answer
x = 3,611.01
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Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.