Finding the Third Proportional to 505 and 660
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Solution
The third proportional to 505 and 660 is: 862.57
Step by Step Solution
- Step 1: Write the proportion equation
505 : 660 = 660 : x - Step 2: Convert to fraction form
505/660 = 660/x - Step 3: Cross multiply
505x = 660 × 660 - Step 4: Simplify right side
505x = 435,600 - Step 5: Solve for x
x = 435,600/505 - Step 6: Final answer
x = 862.57
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Why These Related Problems?
These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.