Finding the Third Proportional to 200 and 258
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Solution
The third proportional to 200 and 258 is: 332.82
Step by Step Solution
- Step 1: Write the proportion equation
200 : 258 = 258 : x - Step 2: Convert to fraction form
200/258 = 258/x - Step 3: Cross multiply
200x = 258 × 258 - Step 4: Simplify right side
200x = 66,564 - Step 5: Solve for x
x = 66,564/200 - Step 6: Final answer
x = 332.82
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Why These Related Problems?
These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.