Finding the Third Proportional to 77,742.75 and 209,427.75
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Solution
The third proportional to 77,742.75 and 209,427.75 is: 564,168.14
Step by Step Solution
- Step 1: Write the proportion equation
77,742.75 : 209,427.75 = 209,427.75 : x - Step 2: Convert to fraction form
77,742.75/209,427.75 = 209,427.75/x - Step 3: Cross multiply
77,742.75x = 209,427.75 × 209,427.75 - Step 4: Simplify right side
77,742.75x = 43,859,982,470.06 - Step 5: Solve for x
x = 43,859,982,470.06/77,742.75 - Step 6: Final answer
x = 564,168.14
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Why These Related Problems?
These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.