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Finding the Third Proportional to 20,272 and 39,968

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Solution

The third proportional to 20,272 and 39,968 is: 78,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,272 : 39,968 = 39,968 : x
  2. Step 2: Convert to fraction form
    20,272/39,968 = 39,968/x
  3. Step 3: Cross multiply
    20,272x = 39,968 × 39,968
  4. Step 4: Simplify right side
    20,272x = 1,597,441,024
  5. Step 5: Solve for x
    x = 1,597,441,024/20,272
  6. Step 6: Final answer
    x = 78,800.37

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.