Finding the Third Proportional to 711 and 826.50
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Solution
The third proportional to 711 and 826.50 is: 960.76
Step by Step Solution
- Step 1: Write the proportion equation
711 : 826.50 = 826.50 : x - Step 2: Convert to fraction form
711/826.50 = 826.50/x - Step 3: Cross multiply
711x = 826.50 × 826.50 - Step 4: Simplify right side
711x = 683,102.25 - Step 5: Solve for x
x = 683,102.25/711 - Step 6: Final answer
x = 960.76
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Why These Related Problems?
These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.