Finding the Third Proportional to 711 and 766.50
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Solution
The third proportional to 711 and 766.50 is: 826.33
Step by Step Solution
- Step 1: Write the proportion equation
711 : 766.50 = 766.50 : x - Step 2: Convert to fraction form
711/766.50 = 766.50/x - Step 3: Cross multiply
711x = 766.50 × 766.50 - Step 4: Simplify right side
711x = 587,522.25 - Step 5: Solve for x
x = 587,522.25/711 - Step 6: Final answer
x = 826.33
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Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.