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Finding the Third Proportional to 129,066 and 189,366

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Solution

The third proportional to 129,066 and 189,366 is: 277,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,066 : 189,366 = 189,366 : x
  2. Step 2: Convert to fraction form
    129,066/189,366 = 189,366/x
  3. Step 3: Cross multiply
    129,066x = 189,366 × 189,366
  4. Step 4: Simplify right side
    129,066x = 35,859,481,956
  5. Step 5: Solve for x
    x = 35,859,481,956/129,066
  6. Step 6: Final answer
    x = 277,838.33

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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.