Finding the Third Proportional to 560 and 1,080
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Solution
The third proportional to 560 and 1,080 is: 2,082.86
Step by Step Solution
- Step 1: Write the proportion equation
560 : 1,080 = 1,080 : x - Step 2: Convert to fraction form
560/1,080 = 1,080/x - Step 3: Cross multiply
560x = 1,080 × 1,080 - Step 4: Simplify right side
560x = 1,166,400 - Step 5: Solve for x
x = 1,166,400/560 - Step 6: Final answer
x = 2,082.86
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Why These Related Problems?
These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.