Finding the Third Proportional to 138,757.50 and 208,743.75
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Solution
The third proportional to 138,757.50 and 208,743.75 is: 314,029.53
Step by Step Solution
- Step 1: Write the proportion equation
138,757.50 : 208,743.75 = 208,743.75 : x - Step 2: Convert to fraction form
138,757.50/208,743.75 = 208,743.75/x - Step 3: Cross multiply
138,757.50x = 208,743.75 × 208,743.75 - Step 4: Simplify right side
138,757.50x = 43,573,953,164.06 - Step 5: Solve for x
x = 43,573,953,164.06/138,757.50 - Step 6: Final answer
x = 314,029.53
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.