Finding the Third Proportional to 221,808 and 471,304
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Solution
The third proportional to 221,808 and 471,304 is: 1,001,440.26
Step by Step Solution
- Step 1: Write the proportion equation
221,808 : 471,304 = 471,304 : x - Step 2: Convert to fraction form
221,808/471,304 = 471,304/x - Step 3: Cross multiply
221,808x = 471,304 × 471,304 - Step 4: Simplify right side
221,808x = 222,127,460,416 - Step 5: Solve for x
x = 222,127,460,416/221,808 - Step 6: Final answer
x = 1,001,440.26
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.