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Finding the Third Proportional to 281,891 and 431,769

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Solution

The third proportional to 281,891 and 431,769 is: 661,335.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,891 : 431,769 = 431,769 : x
  2. Step 2: Convert to fraction form
    281,891/431,769 = 431,769/x
  3. Step 3: Cross multiply
    281,891x = 431,769 × 431,769
  4. Step 4: Simplify right side
    281,891x = 186,424,469,361
  5. Step 5: Solve for x
    x = 186,424,469,361/281,891
  6. Step 6: Final answer
    x = 661,335.30

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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.