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Finding the Third Proportional to 38,590 and 57,977

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Solution

The third proportional to 38,590 and 57,977 is: 87,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,590 : 57,977 = 57,977 : x
  2. Step 2: Convert to fraction form
    38,590/57,977 = 57,977/x
  3. Step 3: Cross multiply
    38,590x = 57,977 × 57,977
  4. Step 4: Simplify right side
    38,590x = 3,361,332,529
  5. Step 5: Solve for x
    x = 3,361,332,529/38,590
  6. Step 6: Final answer
    x = 87,103.72

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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.