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Finding the Third Proportional to 126,731 and 189,717

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Solution

The third proportional to 126,731 and 189,717 is: 284,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,731 : 189,717 = 189,717 : x
  2. Step 2: Convert to fraction form
    126,731/189,717 = 189,717/x
  3. Step 3: Cross multiply
    126,731x = 189,717 × 189,717
  4. Step 4: Simplify right side
    126,731x = 35,992,540,089
  5. Step 5: Solve for x
    x = 35,992,540,089/126,731
  6. Step 6: Final answer
    x = 284,007.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.