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Finding the Third Proportional to 81,780 and 119,977

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Solution

The third proportional to 81,780 and 119,977 is: 176,014.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,780 : 119,977 = 119,977 : x
  2. Step 2: Convert to fraction form
    81,780/119,977 = 119,977/x
  3. Step 3: Cross multiply
    81,780x = 119,977 × 119,977
  4. Step 4: Simplify right side
    81,780x = 14,394,480,529
  5. Step 5: Solve for x
    x = 14,394,480,529/81,780
  6. Step 6: Final answer
    x = 176,014.68

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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.