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Finding the Third Proportional to 129,550 and 281,892

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Solution

The third proportional to 129,550 and 281,892 is: 613,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,550 : 281,892 = 281,892 : x
  2. Step 2: Convert to fraction form
    129,550/281,892 = 281,892/x
  3. Step 3: Cross multiply
    129,550x = 281,892 × 281,892
  4. Step 4: Simplify right side
    129,550x = 79,463,099,664
  5. Step 5: Solve for x
    x = 79,463,099,664/129,550
  6. Step 6: Final answer
    x = 613,377.84

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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.