Finding the Third Proportional to 228 and 402
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Solution
The third proportional to 228 and 402 is: 708.79
Step by Step Solution
- Step 1: Write the proportion equation
228 : 402 = 402 : x - Step 2: Convert to fraction form
228/402 = 402/x - Step 3: Cross multiply
228x = 402 × 402 - Step 4: Simplify right side
228x = 161,604 - Step 5: Solve for x
x = 161,604/228 - Step 6: Final answer
x = 708.79
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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.