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Finding the Third Proportional to 39,200 and 82,720

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Solution

The third proportional to 39,200 and 82,720 is: 174,556.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,200 : 82,720 = 82,720 : x
  2. Step 2: Convert to fraction form
    39,200/82,720 = 82,720/x
  3. Step 3: Cross multiply
    39,200x = 82,720 × 82,720
  4. Step 4: Simplify right side
    39,200x = 6,842,598,400
  5. Step 5: Solve for x
    x = 6,842,598,400/39,200
  6. Step 6: Final answer
    x = 174,556.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.