Finding the Third Proportional to 565 and 676
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Solution
The third proportional to 565 and 676 is: 808.81
Step by Step Solution
- Step 1: Write the proportion equation
565 : 676 = 676 : x - Step 2: Convert to fraction form
565/676 = 676/x - Step 3: Cross multiply
565x = 676 × 676 - Step 4: Simplify right side
565x = 456,976 - Step 5: Solve for x
x = 456,976/565 - Step 6: Final answer
x = 808.81
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Why These Related Problems?
These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.