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Finding the Third Proportional to 281,487 and 436,512

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Solution

The third proportional to 281,487 and 436,512 is: 676,914.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,487 : 436,512 = 436,512 : x
  2. Step 2: Convert to fraction form
    281,487/436,512 = 436,512/x
  3. Step 3: Cross multiply
    281,487x = 436,512 × 436,512
  4. Step 4: Simplify right side
    281,487x = 190,542,726,144
  5. Step 5: Solve for x
    x = 190,542,726,144/281,487
  6. Step 6: Final answer
    x = 676,914.83

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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.