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Finding the Third Proportional to 20,553 and 42,077

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Solution

The third proportional to 20,553 and 42,077 is: 86,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,553 : 42,077 = 42,077 : x
  2. Step 2: Convert to fraction form
    20,553/42,077 = 42,077/x
  3. Step 3: Cross multiply
    20,553x = 42,077 × 42,077
  4. Step 4: Simplify right side
    20,553x = 1,770,473,929
  5. Step 5: Solve for x
    x = 1,770,473,929/20,553
  6. Step 6: Final answer
    x = 86,141.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.