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Finding the Third Proportional to 20,845 and 45,663

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Solution

The third proportional to 20,845 and 45,663 is: 100,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,845 : 45,663 = 45,663 : x
  2. Step 2: Convert to fraction form
    20,845/45,663 = 45,663/x
  3. Step 3: Cross multiply
    20,845x = 45,663 × 45,663
  4. Step 4: Simplify right side
    20,845x = 2,085,109,569
  5. Step 5: Solve for x
    x = 2,085,109,569/20,845
  6. Step 6: Final answer
    x = 100,029.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.