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Finding the Third Proportional to 126,991 and 189,863

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Solution

The third proportional to 126,991 and 189,863 is: 283,862.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,991 : 189,863 = 189,863 : x
  2. Step 2: Convert to fraction form
    126,991/189,863 = 189,863/x
  3. Step 3: Cross multiply
    126,991x = 189,863 × 189,863
  4. Step 4: Simplify right side
    126,991x = 36,047,958,769
  5. Step 5: Solve for x
    x = 36,047,958,769/126,991
  6. Step 6: Final answer
    x = 283,862.31

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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.