Finding the Third Proportional to 540 and 765
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Solution
The third proportional to 540 and 765 is: 1,083.75
Step by Step Solution
- Step 1: Write the proportion equation
540 : 765 = 765 : x - Step 2: Convert to fraction form
540/765 = 765/x - Step 3: Cross multiply
540x = 765 × 765 - Step 4: Simplify right side
540x = 585,225 - Step 5: Solve for x
x = 585,225/540 - Step 6: Final answer
x = 1,083.75
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.