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Finding the Third Proportional to 39,954 and 57,555

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Solution

The third proportional to 39,954 and 57,555 is: 82,909.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,954 : 57,555 = 57,555 : x
  2. Step 2: Convert to fraction form
    39,954/57,555 = 57,555/x
  3. Step 3: Cross multiply
    39,954x = 57,555 × 57,555
  4. Step 4: Simplify right side
    39,954x = 3,312,578,025
  5. Step 5: Solve for x
    x = 3,312,578,025/39,954
  6. Step 6: Final answer
    x = 82,909.80

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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.