Finding the Third Proportional to 2,109.16 and 2,896.07
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Solution
The third proportional to 2,109.16 and 2,896.07 is: 3,976.55
Step by Step Solution
- Step 1: Write the proportion equation
2,109.16 : 2,896.07 = 2,896.07 : x - Step 2: Convert to fraction form
2,109.16/2,896.07 = 2,896.07/x - Step 3: Cross multiply
2,109.16x = 2,896.07 × 2,896.07 - Step 4: Simplify right side
2,109.16x = 8,387,200.63 - Step 5: Solve for x
x = 8,387,200.63/2,109.16 - Step 6: Final answer
x = 3,976.55
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.