Finding the Third Proportional to 84,206 and 185,980
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Solution
The third proportional to 84,206 and 185,980 is: 410,761.23
Step by Step Solution
- Step 1: Write the proportion equation
84,206 : 185,980 = 185,980 : x - Step 2: Convert to fraction form
84,206/185,980 = 185,980/x - Step 3: Cross multiply
84,206x = 185,980 × 185,980 - Step 4: Simplify right side
84,206x = 34,588,560,400 - Step 5: Solve for x
x = 34,588,560,400/84,206 - Step 6: Final answer
x = 410,761.23
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.