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Finding the Third Proportional to 20,272 and 43,280

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Solution

The third proportional to 20,272 and 43,280 is: 92,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,272 : 43,280 = 43,280 : x
  2. Step 2: Convert to fraction form
    20,272/43,280 = 43,280/x
  3. Step 3: Cross multiply
    20,272x = 43,280 × 43,280
  4. Step 4: Simplify right side
    20,272x = 1,873,158,400
  5. Step 5: Solve for x
    x = 1,873,158,400/20,272
  6. Step 6: Final answer
    x = 92,401.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.