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Finding the Third Proportional to 39,864 and 57,438

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Solution

The third proportional to 39,864 and 57,438 is: 82,759.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,864 : 57,438 = 57,438 : x
  2. Step 2: Convert to fraction form
    39,864/57,438 = 57,438/x
  3. Step 3: Cross multiply
    39,864x = 57,438 × 57,438
  4. Step 4: Simplify right side
    39,864x = 3,299,123,844
  5. Step 5: Solve for x
    x = 3,299,123,844/39,864
  6. Step 6: Final answer
    x = 82,759.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.