Finding the Third Proportional to 365 and 426
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Solution
The third proportional to 365 and 426 is: 497.19
Step by Step Solution
- Step 1: Write the proportion equation
365 : 426 = 426 : x - Step 2: Convert to fraction form
365/426 = 426/x - Step 3: Cross multiply
365x = 426 × 426 - Step 4: Simplify right side
365x = 181,476 - Step 5: Solve for x
x = 181,476/365 - Step 6: Final answer
x = 497.19
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Why These Related Problems?
These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.