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Finding the Third Proportional to 39,538 and 57,828

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Solution

The third proportional to 39,538 and 57,828 is: 84,578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,538 : 57,828 = 57,828 : x
  2. Step 2: Convert to fraction form
    39,538/57,828 = 57,828/x
  3. Step 3: Cross multiply
    39,538x = 57,828 × 57,828
  4. Step 4: Simplify right side
    39,538x = 3,344,077,584
  5. Step 5: Solve for x
    x = 3,344,077,584/39,538
  6. Step 6: Final answer
    x = 84,578.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.