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Finding the Third Proportional to 39,276 and 80,856

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Solution

The third proportional to 39,276 and 80,856 is: 166,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,276 : 80,856 = 80,856 : x
  2. Step 2: Convert to fraction form
    39,276/80,856 = 80,856/x
  3. Step 3: Cross multiply
    39,276x = 80,856 × 80,856
  4. Step 4: Simplify right side
    39,276x = 6,537,692,736
  5. Step 5: Solve for x
    x = 6,537,692,736/39,276
  6. Step 6: Final answer
    x = 166,455.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.