Finding the Third Proportional to 497 and 809
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Solution
The third proportional to 497 and 809 is: 1,316.86
Step by Step Solution
- Step 1: Write the proportion equation
497 : 809 = 809 : x - Step 2: Convert to fraction form
497/809 = 809/x - Step 3: Cross multiply
497x = 809 × 809 - Step 4: Simplify right side
497x = 654,481 - Step 5: Solve for x
x = 654,481/497 - Step 6: Final answer
x = 1,316.86
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Why These Related Problems?
These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.