Finding the Third Proportional to 921 and 2,292
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Solution
The third proportional to 921 and 2,292 is: 5,703.87
Step by Step Solution
- Step 1: Write the proportion equation
921 : 2,292 = 2,292 : x - Step 2: Convert to fraction form
921/2,292 = 2,292/x - Step 3: Cross multiply
921x = 2,292 × 2,292 - Step 4: Simplify right side
921x = 5,253,264 - Step 5: Solve for x
x = 5,253,264/921 - Step 6: Final answer
x = 5,703.87
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Why These Related Problems?
These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.