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Finding the Third Proportional to 20,242 and 41,487

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Solution

The third proportional to 20,242 and 41,487 is: 85,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242 : 41,487 = 41,487 : x
  2. Step 2: Convert to fraction form
    20,242/41,487 = 41,487/x
  3. Step 3: Cross multiply
    20,242x = 41,487 × 41,487
  4. Step 4: Simplify right side
    20,242x = 1,721,171,169
  5. Step 5: Solve for x
    x = 1,721,171,169/20,242
  6. Step 6: Final answer
    x = 85,029.70

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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.