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Finding the Third Proportional to 57,393 and 76,977

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Solution

The third proportional to 57,393 and 76,977 is: 103,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,393 : 76,977 = 76,977 : x
  2. Step 2: Convert to fraction form
    57,393/76,977 = 76,977/x
  3. Step 3: Cross multiply
    57,393x = 76,977 × 76,977
  4. Step 4: Simplify right side
    57,393x = 5,925,458,529
  5. Step 5: Solve for x
    x = 5,925,458,529/57,393
  6. Step 6: Final answer
    x = 103,243.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.