Finding the Third Proportional to 166 and 258
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Solution
The third proportional to 166 and 258 is: 400.99
Step by Step Solution
- Step 1: Write the proportion equation
166 : 258 = 258 : x - Step 2: Convert to fraction form
166/258 = 258/x - Step 3: Cross multiply
166x = 258 × 258 - Step 4: Simplify right side
166x = 66,564 - Step 5: Solve for x
x = 66,564/166 - Step 6: Final answer
x = 400.99
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.