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Finding the Third Proportional to 81,779 and 119,976

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Solution

The third proportional to 81,779 and 119,976 is: 176,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,779 : 119,976 = 119,976 : x
  2. Step 2: Convert to fraction form
    81,779/119,976 = 119,976/x
  3. Step 3: Cross multiply
    81,779x = 119,976 × 119,976
  4. Step 4: Simplify right side
    81,779x = 14,394,240,576
  5. Step 5: Solve for x
    x = 14,394,240,576/81,779
  6. Step 6: Final answer
    x = 176,013.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.