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Finding the Third Proportional to 281,505 and 436,542

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Solution

The third proportional to 281,505 and 436,542 is: 676,964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,505 : 436,542 = 436,542 : x
  2. Step 2: Convert to fraction form
    281,505/436,542 = 436,542/x
  3. Step 3: Cross multiply
    281,505x = 436,542 × 436,542
  4. Step 4: Simplify right side
    281,505x = 190,568,917,764
  5. Step 5: Solve for x
    x = 190,568,917,764/281,505
  6. Step 6: Final answer
    x = 676,964.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.