Finding the Third Proportional to 138,102.75 and 209,021.63
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Solution
The third proportional to 138,102.75 and 209,021.63 is: 316,358.94
Step by Step Solution
- Step 1: Write the proportion equation
138,102.75 : 209,021.63 = 209,021.63 : x - Step 2: Convert to fraction form
138,102.75/209,021.63 = 209,021.63/x - Step 3: Cross multiply
138,102.75x = 209,021.63 × 209,021.63 - Step 4: Simplify right side
138,102.75x = 43,690,039,717.64 - Step 5: Solve for x
x = 43,690,039,717.64/138,102.75 - Step 6: Final answer
x = 316,358.94
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.