Finding the Third Proportional to 2,138.06 and 3,309.19
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Solution
The third proportional to 2,138.06 and 3,309.19 is: 5,121.80
Step by Step Solution
- Step 1: Write the proportion equation
2,138.06 : 3,309.19 = 3,309.19 : x - Step 2: Convert to fraction form
2,138.06/3,309.19 = 3,309.19/x - Step 3: Cross multiply
2,138.06x = 3,309.19 × 3,309.19 - Step 4: Simplify right side
2,138.06x = 10,950,721.91 - Step 5: Solve for x
x = 10,950,721.91/2,138.06 - Step 6: Final answer
x = 5,121.80
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.