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Finding the Third Proportional to 39,508 and 85,928

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Solution

The third proportional to 39,508 and 85,928 is: 186,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,508 : 85,928 = 85,928 : x
  2. Step 2: Convert to fraction form
    39,508/85,928 = 85,928/x
  3. Step 3: Cross multiply
    39,508x = 85,928 × 85,928
  4. Step 4: Simplify right side
    39,508x = 7,383,621,184
  5. Step 5: Solve for x
    x = 7,383,621,184/39,508
  6. Step 6: Final answer
    x = 186,889.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.