Finding the Third Proportional to 122 and 320
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Solution
The third proportional to 122 and 320 is: 839.34
Step by Step Solution
- Step 1: Write the proportion equation
122 : 320 = 320 : x - Step 2: Convert to fraction form
122/320 = 320/x - Step 3: Cross multiply
122x = 320 × 320 - Step 4: Simplify right side
122x = 102,400 - Step 5: Solve for x
x = 102,400/122 - Step 6: Final answer
x = 839.34
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These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.