Finding the Third Proportional to 423 and 520
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Solution
The third proportional to 423 and 520 is: 639.24
Step by Step Solution
- Step 1: Write the proportion equation
423 : 520 = 520 : x - Step 2: Convert to fraction form
423/520 = 520/x - Step 3: Cross multiply
423x = 520 × 520 - Step 4: Simplify right side
423x = 270,400 - Step 5: Solve for x
x = 270,400/423 - Step 6: Final answer
x = 639.24
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Why These Related Problems?
These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.