Finding the Third Proportional to 680 and 1,468
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Solution
The third proportional to 680 and 1,468 is: 3,169.15
Step by Step Solution
- Step 1: Write the proportion equation
680 : 1,468 = 1,468 : x - Step 2: Convert to fraction form
680/1,468 = 1,468/x - Step 3: Cross multiply
680x = 1,468 × 1,468 - Step 4: Simplify right side
680x = 2,155,024 - Step 5: Solve for x
x = 2,155,024/680 - Step 6: Final answer
x = 3,169.15
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.