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Finding the Third Proportional to 20,188 and 39,859

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Solution

The third proportional to 20,188 and 39,859 is: 78,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188 : 39,859 = 39,859 : x
  2. Step 2: Convert to fraction form
    20,188/39,859 = 39,859/x
  3. Step 3: Cross multiply
    20,188x = 39,859 × 39,859
  4. Step 4: Simplify right side
    20,188x = 1,588,739,881
  5. Step 5: Solve for x
    x = 1,588,739,881/20,188
  6. Step 6: Final answer
    x = 78,697.24

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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.