Finding the Third Proportional to 197,428 and 434,204
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Solution
The third proportional to 197,428 and 434,204 is: 954,946.18
Step by Step Solution
- Step 1: Write the proportion equation
197,428 : 434,204 = 434,204 : x - Step 2: Convert to fraction form
197,428/434,204 = 434,204/x - Step 3: Cross multiply
197,428x = 434,204 × 434,204 - Step 4: Simplify right side
197,428x = 188,533,113,616 - Step 5: Solve for x
x = 188,533,113,616/197,428 - Step 6: Final answer
x = 954,946.18
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.