Finding the Third Proportional to 212 and 402
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Solution
The third proportional to 212 and 402 is: 762.28
Step by Step Solution
- Step 1: Write the proportion equation
212 : 402 = 402 : x - Step 2: Convert to fraction form
212/402 = 402/x - Step 3: Cross multiply
212x = 402 × 402 - Step 4: Simplify right side
212x = 161,604 - Step 5: Solve for x
x = 161,604/212 - Step 6: Final answer
x = 762.28
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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.