Finding the Third Proportional to 311,988 and 470,190
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Solution
The third proportional to 311,988 and 470,190 is: 708,612.63
Step by Step Solution
- Step 1: Write the proportion equation
311,988 : 470,190 = 470,190 : x - Step 2: Convert to fraction form
311,988/470,190 = 470,190/x - Step 3: Cross multiply
311,988x = 470,190 × 470,190 - Step 4: Simplify right side
311,988x = 221,078,636,100 - Step 5: Solve for x
x = 221,078,636,100/311,988 - Step 6: Final answer
x = 708,612.63
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.