Finding the Third Proportional to 490 and 927
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Solution
The third proportional to 490 and 927 is: 1,753.73
Step by Step Solution
- Step 1: Write the proportion equation
490 : 927 = 927 : x - Step 2: Convert to fraction form
490/927 = 927/x - Step 3: Cross multiply
490x = 927 × 927 - Step 4: Simplify right side
490x = 859,329 - Step 5: Solve for x
x = 859,329/490 - Step 6: Final answer
x = 1,753.73
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Why These Related Problems?
These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.