Finding the Third Proportional to 70,380 and 105,662
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Solution
The third proportional to 70,380 and 105,662 is: 158,631.12
Step by Step Solution
- Step 1: Write the proportion equation
70,380 : 105,662 = 105,662 : x - Step 2: Convert to fraction form
70,380/105,662 = 105,662/x - Step 3: Cross multiply
70,380x = 105,662 × 105,662 - Step 4: Simplify right side
70,380x = 11,164,458,244 - Step 5: Solve for x
x = 11,164,458,244/70,380 - Step 6: Final answer
x = 158,631.12
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.