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Finding the Third Proportional to 39,200 and 82,272

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Solution

The third proportional to 39,200 and 82,272 is: 172,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,200 : 82,272 = 82,272 : x
  2. Step 2: Convert to fraction form
    39,200/82,272 = 82,272/x
  3. Step 3: Cross multiply
    39,200x = 82,272 × 82,272
  4. Step 4: Simplify right side
    39,200x = 6,768,681,984
  5. Step 5: Solve for x
    x = 6,768,681,984/39,200
  6. Step 6: Final answer
    x = 172,670.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.