Finding the Third Proportional to 165.80 and 227.60
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Solution
The third proportional to 165.80 and 227.60 is: 312.45
Step by Step Solution
- Step 1: Write the proportion equation
165.80 : 227.60 = 227.60 : x - Step 2: Convert to fraction form
165.80/227.60 = 227.60/x - Step 3: Cross multiply
165.80x = 227.60 × 227.60 - Step 4: Simplify right side
165.80x = 51,802.47 - Step 5: Solve for x
x = 51,802.47/165.80 - Step 6: Final answer
x = 312.45
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.