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Finding the Third Proportional to 20,540 and 43,226

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Solution

The third proportional to 20,540 and 43,226 is: 90,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540 : 43,226 = 43,226 : x
  2. Step 2: Convert to fraction form
    20,540/43,226 = 43,226/x
  3. Step 3: Cross multiply
    20,540x = 43,226 × 43,226
  4. Step 4: Simplify right side
    20,540x = 1,868,487,076
  5. Step 5: Solve for x
    x = 1,868,487,076/20,540
  6. Step 6: Final answer
    x = 90,968.21

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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.