Finding the Third Proportional to 210 and 284
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Solution
The third proportional to 210 and 284 is: 384.08
Step by Step Solution
- Step 1: Write the proportion equation
210 : 284 = 284 : x - Step 2: Convert to fraction form
210/284 = 284/x - Step 3: Cross multiply
210x = 284 × 284 - Step 4: Simplify right side
210x = 80,656 - Step 5: Solve for x
x = 80,656/210 - Step 6: Final answer
x = 384.08
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.