Finding the Third Proportional to 272,322 and 414,243
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Solution
The third proportional to 272,322 and 414,243 is: 630,126.33
Step by Step Solution
- Step 1: Write the proportion equation
272,322 : 414,243 = 414,243 : x - Step 2: Convert to fraction form
272,322/414,243 = 414,243/x - Step 3: Cross multiply
272,322x = 414,243 × 414,243 - Step 4: Simplify right side
272,322x = 171,597,263,049 - Step 5: Solve for x
x = 171,597,263,049/272,322 - Step 6: Final answer
x = 630,126.33
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.