Finding the Third Proportional to 862 and 2,272
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Solution
The third proportional to 862 and 2,272 is: 5,988.38
Step by Step Solution
- Step 1: Write the proportion equation
862 : 2,272 = 2,272 : x - Step 2: Convert to fraction form
862/2,272 = 2,272/x - Step 3: Cross multiply
862x = 2,272 × 2,272 - Step 4: Simplify right side
862x = 5,161,984 - Step 5: Solve for x
x = 5,161,984/862 - Step 6: Final answer
x = 5,988.38
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Why These Related Problems?
These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.