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Finding the Third Proportional to 20,346 and 41,781

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Solution

The third proportional to 20,346 and 41,781 is: 85,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,346 : 41,781 = 41,781 : x
  2. Step 2: Convert to fraction form
    20,346/41,781 = 41,781/x
  3. Step 3: Cross multiply
    20,346x = 41,781 × 41,781
  4. Step 4: Simplify right side
    20,346x = 1,745,651,961
  5. Step 5: Solve for x
    x = 1,745,651,961/20,346
  6. Step 6: Final answer
    x = 85,798.29

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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.