Finding the Third Proportional to 711 and 862
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Solution
The third proportional to 711 and 862 is: 1,045.07
Step by Step Solution
- Step 1: Write the proportion equation
711 : 862 = 862 : x - Step 2: Convert to fraction form
711/862 = 862/x - Step 3: Cross multiply
711x = 862 × 862 - Step 4: Simplify right side
711x = 743,044 - Step 5: Solve for x
x = 743,044/711 - Step 6: Final answer
x = 1,045.07
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Why These Related Problems?
These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.