Finding the Third Proportional to 198,073,764 and 434,411,352
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Solution
The third proportional to 198,073,764 and 434,411,352 is: 952,742,144.82
Step by Step Solution
- Step 1: Write the proportion equation
198,073,764 : 434,411,352 = 434,411,352 : x - Step 2: Convert to fraction form
198,073,764/434,411,352 = 434,411,352/x - Step 3: Cross multiply
198,073,764x = 434,411,352 × 434,411,352 - Step 4: Simplify right side
198,073,764x = 188,713,222,746,467,904 - Step 5: Solve for x
x = 188,713,222,746,467,904/198,073,764 - Step 6: Final answer
x = 952,742,144.82
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.