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Finding the Third Proportional to 126,119 and 263,919

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Solution

The third proportional to 126,119 and 263,919 is: 552,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,119 : 263,919 = 263,919 : x
  2. Step 2: Convert to fraction form
    126,119/263,919 = 263,919/x
  3. Step 3: Cross multiply
    126,119x = 263,919 × 263,919
  4. Step 4: Simplify right side
    126,119x = 69,653,238,561
  5. Step 5: Solve for x
    x = 69,653,238,561/126,119
  6. Step 6: Final answer
    x = 552,281.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.