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Finding the Third Proportional to 129,107 and 189,849

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Solution

The third proportional to 129,107 and 189,849 is: 279,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,107 : 189,849 = 189,849 : x
  2. Step 2: Convert to fraction form
    129,107/189,849 = 189,849/x
  3. Step 3: Cross multiply
    129,107x = 189,849 × 189,849
  4. Step 4: Simplify right side
    129,107x = 36,042,642,801
  5. Step 5: Solve for x
    x = 36,042,642,801/129,107
  6. Step 6: Final answer
    x = 279,168.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.