Finding the Third Proportional to 105,822 and 144,109
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Solution
The third proportional to 105,822 and 144,109 is: 196,248.45
Step by Step Solution
- Step 1: Write the proportion equation
105,822 : 144,109 = 144,109 : x - Step 2: Convert to fraction form
105,822/144,109 = 144,109/x - Step 3: Cross multiply
105,822x = 144,109 × 144,109 - Step 4: Simplify right side
105,822x = 20,767,403,881 - Step 5: Solve for x
x = 20,767,403,881/105,822 - Step 6: Final answer
x = 196,248.45
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.