Finding the Third Proportional to 729 and 810
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Solution
The third proportional to 729 and 810 is: 900
Step by Step Solution
- Step 1: Write the proportion equation
729 : 810 = 810 : x - Step 2: Convert to fraction form
729/810 = 810/x - Step 3: Cross multiply
729x = 810 × 810 - Step 4: Simplify right side
729x = 656,100 - Step 5: Solve for x
x = 656,100/729 - Step 6: Final answer
x = 900
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.