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Finding the Third Proportional to 39,200 and 84,286

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Solution

The third proportional to 39,200 and 84,286 is: 181,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,200 : 84,286 = 84,286 : x
  2. Step 2: Convert to fraction form
    39,200/84,286 = 84,286/x
  3. Step 3: Cross multiply
    39,200x = 84,286 × 84,286
  4. Step 4: Simplify right side
    39,200x = 7,104,129,796
  5. Step 5: Solve for x
    x = 7,104,129,796/39,200
  6. Step 6: Final answer
    x = 181,227.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.