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Finding the Third Proportional to 39,728 and 87,042

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Solution

The third proportional to 39,728 and 87,042 is: 190,704.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,728 : 87,042 = 87,042 : x
  2. Step 2: Convert to fraction form
    39,728/87,042 = 87,042/x
  3. Step 3: Cross multiply
    39,728x = 87,042 × 87,042
  4. Step 4: Simplify right side
    39,728x = 7,576,309,764
  5. Step 5: Solve for x
    x = 7,576,309,764/39,728
  6. Step 6: Final answer
    x = 190,704.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.