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Finding the Third Proportional to 39,272 and 81,856

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Solution

The third proportional to 39,272 and 81,856 is: 170,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,272 : 81,856 = 81,856 : x
  2. Step 2: Convert to fraction form
    39,272/81,856 = 81,856/x
  3. Step 3: Cross multiply
    39,272x = 81,856 × 81,856
  4. Step 4: Simplify right side
    39,272x = 6,700,404,736
  5. Step 5: Solve for x
    x = 6,700,404,736/39,272
  6. Step 6: Final answer
    x = 170,615.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.