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Finding the Third Proportional to 77,195 and 115,977

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Solution

The third proportional to 77,195 and 115,977 is: 174,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,195 : 115,977 = 115,977 : x
  2. Step 2: Convert to fraction form
    77,195/115,977 = 115,977/x
  3. Step 3: Cross multiply
    77,195x = 115,977 × 115,977
  4. Step 4: Simplify right side
    77,195x = 13,450,664,529
  5. Step 5: Solve for x
    x = 13,450,664,529/77,195
  6. Step 6: Final answer
    x = 174,242.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.