Finding the Third Proportional to 197,512.50 and 314,313.75
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Solution
The third proportional to 197,512.50 and 314,313.75 is: 500,186.74
Step by Step Solution
- Step 1: Write the proportion equation
197,512.50 : 314,313.75 = 314,313.75 : x - Step 2: Convert to fraction form
197,512.50/314,313.75 = 314,313.75/x - Step 3: Cross multiply
197,512.50x = 314,313.75 × 314,313.75 - Step 4: Simplify right side
197,512.50x = 98,793,133,439.06 - Step 5: Solve for x
x = 98,793,133,439.06/197,512.50 - Step 6: Final answer
x = 500,186.74
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.