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Finding the Third Proportional to 129,504 and 281,800

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Solution

The third proportional to 129,504 and 281,800 is: 613,195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,504 : 281,800 = 281,800 : x
  2. Step 2: Convert to fraction form
    129,504/281,800 = 281,800/x
  3. Step 3: Cross multiply
    129,504x = 281,800 × 281,800
  4. Step 4: Simplify right side
    129,504x = 79,411,240,000
  5. Step 5: Solve for x
    x = 79,411,240,000/129,504
  6. Step 6: Final answer
    x = 613,195.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.