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Finding the Third Proportional to 39,274 and 86,324

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Solution

The third proportional to 39,274 and 86,324 is: 189,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,274 : 86,324 = 86,324 : x
  2. Step 2: Convert to fraction form
    39,274/86,324 = 86,324/x
  3. Step 3: Cross multiply
    39,274x = 86,324 × 86,324
  4. Step 4: Simplify right side
    39,274x = 7,451,832,976
  5. Step 5: Solve for x
    x = 7,451,832,976/39,274
  6. Step 6: Final answer
    x = 189,739.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.