Finding the Third Proportional to 180,160 and 278,981
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Solution
The third proportional to 180,160 and 278,981 is: 432,007.10
Step by Step Solution
- Step 1: Write the proportion equation
180,160 : 278,981 = 278,981 : x - Step 2: Convert to fraction form
180,160/278,981 = 278,981/x - Step 3: Cross multiply
180,160x = 278,981 × 278,981 - Step 4: Simplify right side
180,160x = 77,830,398,361 - Step 5: Solve for x
x = 77,830,398,361/180,160 - Step 6: Final answer
x = 432,007.10
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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.