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Finding the Third Proportional to 39,865 and 54,165

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Solution

The third proportional to 39,865 and 54,165 is: 73,594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,865 : 54,165 = 54,165 : x
  2. Step 2: Convert to fraction form
    39,865/54,165 = 54,165/x
  3. Step 3: Cross multiply
    39,865x = 54,165 × 54,165
  4. Step 4: Simplify right side
    39,865x = 2,933,847,225
  5. Step 5: Solve for x
    x = 2,933,847,225/39,865
  6. Step 6: Final answer
    x = 73,594.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.