Finding the Third Proportional to 210 and 230
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Solution
The third proportional to 210 and 230 is: 251.90
Step by Step Solution
- Step 1: Write the proportion equation
210 : 230 = 230 : x - Step 2: Convert to fraction form
210/230 = 230/x - Step 3: Cross multiply
210x = 230 × 230 - Step 4: Simplify right side
210x = 52,900 - Step 5: Solve for x
x = 52,900/210 - Step 6: Final answer
x = 251.90
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.