Finding the Third Proportional to 122 and 282
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Solution
The third proportional to 122 and 282 is: 651.84
Step by Step Solution
- Step 1: Write the proportion equation
122 : 282 = 282 : x - Step 2: Convert to fraction form
122/282 = 282/x - Step 3: Cross multiply
122x = 282 × 282 - Step 4: Simplify right side
122x = 79,524 - Step 5: Solve for x
x = 79,524/122 - Step 6: Final answer
x = 651.84
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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.