Finding the Third Proportional to 320 and 699
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Solution
The third proportional to 320 and 699 is: 1,526.88
Step by Step Solution
- Step 1: Write the proportion equation
320 : 699 = 699 : x - Step 2: Convert to fraction form
320/699 = 699/x - Step 3: Cross multiply
320x = 699 × 699 - Step 4: Simplify right side
320x = 488,601 - Step 5: Solve for x
x = 488,601/320 - Step 6: Final answer
x = 1,526.88
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.