Finding the Third Proportional to 210 and 413
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Solution
The third proportional to 210 and 413 is: 812.23
Step by Step Solution
- Step 1: Write the proportion equation
210 : 413 = 413 : x - Step 2: Convert to fraction form
210/413 = 413/x - Step 3: Cross multiply
210x = 413 × 413 - Step 4: Simplify right side
210x = 170,569 - Step 5: Solve for x
x = 170,569/210 - Step 6: Final answer
x = 812.23
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Why These Related Problems?
These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.