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Finding the Third Proportional to 38,986 and 57,647

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Solution

The third proportional to 38,986 and 57,647 is: 85,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,986 : 57,647 = 57,647 : x
  2. Step 2: Convert to fraction form
    38,986/57,647 = 57,647/x
  3. Step 3: Cross multiply
    38,986x = 57,647 × 57,647
  4. Step 4: Simplify right side
    38,986x = 3,323,176,609
  5. Step 5: Solve for x
    x = 3,323,176,609/38,986
  6. Step 6: Final answer
    x = 85,240.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.