Finding the Third Proportional to 142.59 and 213.89
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Solution
The third proportional to 142.59 and 213.89 is: 320.84
Step by Step Solution
- Step 1: Write the proportion equation
142.59 : 213.89 = 213.89 : x - Step 2: Convert to fraction form
142.59/213.89 = 213.89/x - Step 3: Cross multiply
142.59x = 213.89 × 213.89 - Step 4: Simplify right side
142.59x = 45,749.20 - Step 5: Solve for x
x = 45,749.20/142.59 - Step 6: Final answer
x = 320.84
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.