Finding the Third Proportional to 658 and 1,295
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Solution
The third proportional to 658 and 1,295 is: 2,548.67
Step by Step Solution
- Step 1: Write the proportion equation
658 : 1,295 = 1,295 : x - Step 2: Convert to fraction form
658/1,295 = 1,295/x - Step 3: Cross multiply
658x = 1,295 × 1,295 - Step 4: Simplify right side
658x = 1,677,025 - Step 5: Solve for x
x = 1,677,025/658 - Step 6: Final answer
x = 2,548.67
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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.