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Finding the Third Proportional to 119,839 and 261,128

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Solution

The third proportional to 119,839 and 261,128 is: 568,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,839 : 261,128 = 261,128 : x
  2. Step 2: Convert to fraction form
    119,839/261,128 = 261,128/x
  3. Step 3: Cross multiply
    119,839x = 261,128 × 261,128
  4. Step 4: Simplify right side
    119,839x = 68,187,832,384
  5. Step 5: Solve for x
    x = 68,187,832,384/119,839
  6. Step 6: Final answer
    x = 568,995.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.