Finding the Third Proportional to 864 and 1,656
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Solution
The third proportional to 864 and 1,656 is: 3,174
Step by Step Solution
- Step 1: Write the proportion equation
864 : 1,656 = 1,656 : x - Step 2: Convert to fraction form
864/1,656 = 1,656/x - Step 3: Cross multiply
864x = 1,656 × 1,656 - Step 4: Simplify right side
864x = 2,742,336 - Step 5: Solve for x
x = 2,742,336/864 - Step 6: Final answer
x = 3,174
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Why These Related Problems?
These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.