Finding the Third Proportional to 517 and 870
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Solution
The third proportional to 517 and 870 is: 1,464.02
Step by Step Solution
- Step 1: Write the proportion equation
517 : 870 = 870 : x - Step 2: Convert to fraction form
517/870 = 870/x - Step 3: Cross multiply
517x = 870 × 870 - Step 4: Simplify right side
517x = 756,900 - Step 5: Solve for x
x = 756,900/517 - Step 6: Final answer
x = 1,464.02
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Why These Related Problems?
These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.