Finding the Third Proportional to 810 and 1,530
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Solution
The third proportional to 810 and 1,530 is: 2,890
Step by Step Solution
- Step 1: Write the proportion equation
810 : 1,530 = 1,530 : x - Step 2: Convert to fraction form
810/1,530 = 1,530/x - Step 3: Cross multiply
810x = 1,530 × 1,530 - Step 4: Simplify right side
810x = 2,340,900 - Step 5: Solve for x
x = 2,340,900/810 - Step 6: Final answer
x = 2,890
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Why These Related Problems?
These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.