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Finding the Third Proportional to 281,884.50 and 431,757

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Solution

The third proportional to 281,884.50 and 431,757 is: 661,313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,884.50 : 431,757 = 431,757 : x
  2. Step 2: Convert to fraction form
    281,884.50/431,757 = 431,757/x
  3. Step 3: Cross multiply
    281,884.50x = 431,757 × 431,757
  4. Step 4: Simplify right side
    281,884.50x = 186,414,107,049
  5. Step 5: Solve for x
    x = 186,414,107,049/281,884.50
  6. Step 6: Final answer
    x = 661,313.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.