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Finding the Third Proportional to 119,236 and 261,980

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Solution

The third proportional to 119,236 and 261,980 is: 575,610.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,236 : 261,980 = 261,980 : x
  2. Step 2: Convert to fraction form
    119,236/261,980 = 261,980/x
  3. Step 3: Cross multiply
    119,236x = 261,980 × 261,980
  4. Step 4: Simplify right side
    119,236x = 68,633,520,400
  5. Step 5: Solve for x
    x = 68,633,520,400/119,236
  6. Step 6: Final answer
    x = 575,610.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.