Finding the Third Proportional to 169 and 283
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Solution
The third proportional to 169 and 283 is: 473.90
Step by Step Solution
- Step 1: Write the proportion equation
169 : 283 = 283 : x - Step 2: Convert to fraction form
169/283 = 283/x - Step 3: Cross multiply
169x = 283 × 283 - Step 4: Simplify right side
169x = 80,089 - Step 5: Solve for x
x = 80,089/169 - Step 6: Final answer
x = 473.90
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.