Finding the Third Proportional to 458 and 1,099
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Solution
The third proportional to 458 and 1,099 is: 2,637.12
Step by Step Solution
- Step 1: Write the proportion equation
458 : 1,099 = 1,099 : x - Step 2: Convert to fraction form
458/1,099 = 1,099/x - Step 3: Cross multiply
458x = 1,099 × 1,099 - Step 4: Simplify right side
458x = 1,207,801 - Step 5: Solve for x
x = 1,207,801/458 - Step 6: Final answer
x = 2,637.12
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Why These Related Problems?
These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.