Finding the Third Proportional to 320 and 836.50
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Solution
The third proportional to 320 and 836.50 is: 2,186.66
Step by Step Solution
- Step 1: Write the proportion equation
320 : 836.50 = 836.50 : x - Step 2: Convert to fraction form
320/836.50 = 836.50/x - Step 3: Cross multiply
320x = 836.50 × 836.50 - Step 4: Simplify right side
320x = 699,732.25 - Step 5: Solve for x
x = 699,732.25/320 - Step 6: Final answer
x = 2,186.66
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Why These Related Problems?
These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.