Finding the Third Proportional to 427 and 1,007
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Solution
The third proportional to 427 and 1,007 is: 2,374.82
Step by Step Solution
- Step 1: Write the proportion equation
427 : 1,007 = 1,007 : x - Step 2: Convert to fraction form
427/1,007 = 1,007/x - Step 3: Cross multiply
427x = 1,007 × 1,007 - Step 4: Simplify right side
427x = 1,014,049 - Step 5: Solve for x
x = 1,014,049/427 - Step 6: Final answer
x = 2,374.82
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.