Finding the Third Proportional to 561 and 1,198.50
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Solution
The third proportional to 561 and 1,198.50 is: 2,560.43
Step by Step Solution
- Step 1: Write the proportion equation
561 : 1,198.50 = 1,198.50 : x - Step 2: Convert to fraction form
561/1,198.50 = 1,198.50/x - Step 3: Cross multiply
561x = 1,198.50 × 1,198.50 - Step 4: Simplify right side
561x = 1,436,402.25 - Step 5: Solve for x
x = 1,436,402.25/561 - Step 6: Final answer
x = 2,560.43
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.