Finding the Third Proportional to 320 and 468
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Solution
The third proportional to 320 and 468 is: 684.45
Step by Step Solution
- Step 1: Write the proportion equation
320 : 468 = 468 : x - Step 2: Convert to fraction form
320/468 = 468/x - Step 3: Cross multiply
320x = 468 × 468 - Step 4: Simplify right side
320x = 219,024 - Step 5: Solve for x
x = 219,024/320 - Step 6: Final answer
x = 684.45
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.