Finding the Third Proportional to 540 and 1,324
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Solution
The third proportional to 540 and 1,324 is: 3,246.25
Step by Step Solution
- Step 1: Write the proportion equation
540 : 1,324 = 1,324 : x - Step 2: Convert to fraction form
540/1,324 = 1,324/x - Step 3: Cross multiply
540x = 1,324 × 1,324 - Step 4: Simplify right side
540x = 1,752,976 - Step 5: Solve for x
x = 1,752,976/540 - Step 6: Final answer
x = 3,246.25
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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.