Finding the Third Proportional to 105 and 279
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Solution
The third proportional to 105 and 279 is: 741.34
Step by Step Solution
- Step 1: Write the proportion equation
105 : 279 = 279 : x - Step 2: Convert to fraction form
105/279 = 279/x - Step 3: Cross multiply
105x = 279 × 279 - Step 4: Simplify right side
105x = 77,841 - Step 5: Solve for x
x = 77,841/105 - Step 6: Final answer
x = 741.34
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Why These Related Problems?
These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.