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Finding the Third Proportional to 39,272 and 86,322

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Solution

The third proportional to 39,272 and 86,322 is: 189,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,272 : 86,322 = 86,322 : x
  2. Step 2: Convert to fraction form
    39,272/86,322 = 86,322/x
  3. Step 3: Cross multiply
    39,272x = 86,322 × 86,322
  4. Step 4: Simplify right side
    39,272x = 7,451,487,684
  5. Step 5: Solve for x
    x = 7,451,487,684/39,272
  6. Step 6: Final answer
    x = 189,740.47

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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.