Finding the Third Proportional to 499 and 823.50
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Solution
The third proportional to 499 and 823.50 is: 1,359.02
Step by Step Solution
- Step 1: Write the proportion equation
499 : 823.50 = 823.50 : x - Step 2: Convert to fraction form
499/823.50 = 823.50/x - Step 3: Cross multiply
499x = 823.50 × 823.50 - Step 4: Simplify right side
499x = 678,152.25 - Step 5: Solve for x
x = 678,152.25/499 - Step 6: Final answer
x = 1,359.02
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Why These Related Problems?
These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.