Finding the Third Proportional to 269,160 and 417,942
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Solution
The third proportional to 269,160 and 417,942 is: 648,965.36
Step by Step Solution
- Step 1: Write the proportion equation
269,160 : 417,942 = 417,942 : x - Step 2: Convert to fraction form
269,160/417,942 = 417,942/x - Step 3: Cross multiply
269,160x = 417,942 × 417,942 - Step 4: Simplify right side
269,160x = 174,675,515,364 - Step 5: Solve for x
x = 174,675,515,364/269,160 - Step 6: Final answer
x = 648,965.36
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.