Finding the Third Proportional to 70,947 and 105,804
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Solution
The third proportional to 70,947 and 105,804 is: 157,786.61
Step by Step Solution
- Step 1: Write the proportion equation
70,947 : 105,804 = 105,804 : x - Step 2: Convert to fraction form
70,947/105,804 = 105,804/x - Step 3: Cross multiply
70,947x = 105,804 × 105,804 - Step 4: Simplify right side
70,947x = 11,194,486,416 - Step 5: Solve for x
x = 11,194,486,416/70,947 - Step 6: Final answer
x = 157,786.61
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.