Finding the Third Proportional to 315 and 829.50
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Solution
The third proportional to 315 and 829.50 is: 2,184.35
Step by Step Solution
- Step 1: Write the proportion equation
315 : 829.50 = 829.50 : x - Step 2: Convert to fraction form
315/829.50 = 829.50/x - Step 3: Cross multiply
315x = 829.50 × 829.50 - Step 4: Simplify right side
315x = 688,070.25 - Step 5: Solve for x
x = 688,070.25/315 - Step 6: Final answer
x = 2,184.35
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Why These Related Problems?
These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.