Finding the Third Proportional to 86,244 and 137,142
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Solution
The third proportional to 86,244 and 137,142 is: 218,078.11
Step by Step Solution
- Step 1: Write the proportion equation
86,244 : 137,142 = 137,142 : x - Step 2: Convert to fraction form
86,244/137,142 = 137,142/x - Step 3: Cross multiply
86,244x = 137,142 × 137,142 - Step 4: Simplify right side
86,244x = 18,807,928,164 - Step 5: Solve for x
x = 18,807,928,164/86,244 - Step 6: Final answer
x = 218,078.11
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.