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Finding the Third Proportional to 129,794 and 281,620

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Solution

The third proportional to 129,794 and 281,620 is: 611,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,794 : 281,620 = 281,620 : x
  2. Step 2: Convert to fraction form
    129,794/281,620 = 281,620/x
  3. Step 3: Cross multiply
    129,794x = 281,620 × 281,620
  4. Step 4: Simplify right side
    129,794x = 79,309,824,400
  5. Step 5: Solve for x
    x = 79,309,824,400/129,794
  6. Step 6: Final answer
    x = 611,043.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.