Finding the Third Proportional to 145,836 and 314,434
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Solution
The third proportional to 145,836 and 314,434 is: 677,944.68
Step by Step Solution
- Step 1: Write the proportion equation
145,836 : 314,434 = 314,434 : x - Step 2: Convert to fraction form
145,836/314,434 = 314,434/x - Step 3: Cross multiply
145,836x = 314,434 × 314,434 - Step 4: Simplify right side
145,836x = 98,868,740,356 - Step 5: Solve for x
x = 98,868,740,356/145,836 - Step 6: Final answer
x = 677,944.68
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.