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Finding the Third Proportional to 281,880 and 436,509

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Solution

The third proportional to 281,880 and 436,509 is: 675,961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,880 : 436,509 = 436,509 : x
  2. Step 2: Convert to fraction form
    281,880/436,509 = 436,509/x
  3. Step 3: Cross multiply
    281,880x = 436,509 × 436,509
  4. Step 4: Simplify right side
    281,880x = 190,540,107,081
  5. Step 5: Solve for x
    x = 190,540,107,081/281,880
  6. Step 6: Final answer
    x = 675,961.78

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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.