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Finding the Third Proportional to 39,200 and 83,242

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Solution

The third proportional to 39,200 and 83,242 is: 176,766.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,200 : 83,242 = 83,242 : x
  2. Step 2: Convert to fraction form
    39,200/83,242 = 83,242/x
  3. Step 3: Cross multiply
    39,200x = 83,242 × 83,242
  4. Step 4: Simplify right side
    39,200x = 6,929,230,564
  5. Step 5: Solve for x
    x = 6,929,230,564/39,200
  6. Step 6: Final answer
    x = 176,766.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.