Finding the Third Proportional to 30,802.50 and 34,042.50
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Solution
The third proportional to 30,802.50 and 34,042.50 is: 37,623.30
Step by Step Solution
- Step 1: Write the proportion equation
30,802.50 : 34,042.50 = 34,042.50 : x - Step 2: Convert to fraction form
30,802.50/34,042.50 = 34,042.50/x - Step 3: Cross multiply
30,802.50x = 34,042.50 × 34,042.50 - Step 4: Simplify right side
30,802.50x = 1,158,891,806.25 - Step 5: Solve for x
x = 1,158,891,806.25/30,802.50 - Step 6: Final answer
x = 37,623.30
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.