Finding the Third Proportional to 258 and 324
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Solution
The third proportional to 258 and 324 is: 406.88
Step by Step Solution
- Step 1: Write the proportion equation
258 : 324 = 324 : x - Step 2: Convert to fraction form
258/324 = 324/x - Step 3: Cross multiply
258x = 324 × 324 - Step 4: Simplify right side
258x = 104,976 - Step 5: Solve for x
x = 104,976/258 - Step 6: Final answer
x = 406.88
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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.