Finding the Third Proportional to 218,400 and 473,952
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Solution
The third proportional to 218,400 and 473,952 is: 1,028,527.92
Step by Step Solution
- Step 1: Write the proportion equation
218,400 : 473,952 = 473,952 : x - Step 2: Convert to fraction form
218,400/473,952 = 473,952/x - Step 3: Cross multiply
218,400x = 473,952 × 473,952 - Step 4: Simplify right side
218,400x = 224,630,498,304 - Step 5: Solve for x
x = 224,630,498,304/218,400 - Step 6: Final answer
x = 1,028,527.92
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.