Finding the Third Proportional to 77,784 and 117,388
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Solution
The third proportional to 77,784 and 117,388 is: 177,156.52
Step by Step Solution
- Step 1: Write the proportion equation
77,784 : 117,388 = 117,388 : x - Step 2: Convert to fraction form
77,784/117,388 = 117,388/x - Step 3: Cross multiply
77,784x = 117,388 × 117,388 - Step 4: Simplify right side
77,784x = 13,779,942,544 - Step 5: Solve for x
x = 13,779,942,544/77,784 - Step 6: Final answer
x = 177,156.52
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.