Finding the Third Proportional to 768 and 1,317
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Solution
The third proportional to 768 and 1,317 is: 2,258.45
Step by Step Solution
- Step 1: Write the proportion equation
768 : 1,317 = 1,317 : x - Step 2: Convert to fraction form
768/1,317 = 1,317/x - Step 3: Cross multiply
768x = 1,317 × 1,317 - Step 4: Simplify right side
768x = 1,734,489 - Step 5: Solve for x
x = 1,734,489/768 - Step 6: Final answer
x = 2,258.45
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Why These Related Problems?
These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.