Finding the Third Proportional to 70,968 and 109,869
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Solution
The third proportional to 70,968 and 109,869 is: 170,093.52
Step by Step Solution
- Step 1: Write the proportion equation
70,968 : 109,869 = 109,869 : x - Step 2: Convert to fraction form
70,968/109,869 = 109,869/x - Step 3: Cross multiply
70,968x = 109,869 × 109,869 - Step 4: Simplify right side
70,968x = 12,071,197,161 - Step 5: Solve for x
x = 12,071,197,161/70,968 - Step 6: Final answer
x = 170,093.52
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.