Finding the Third Proportional to 258 and 386
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Solution
The third proportional to 258 and 386 is: 577.50
Step by Step Solution
- Step 1: Write the proportion equation
258 : 386 = 386 : x - Step 2: Convert to fraction form
258/386 = 386/x - Step 3: Cross multiply
258x = 386 × 386 - Step 4: Simplify right side
258x = 148,996 - Step 5: Solve for x
x = 148,996/258 - Step 6: Final answer
x = 577.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.