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Finding the Third Proportional to 20,143 and 43,634

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Solution

The third proportional to 20,143 and 43,634 is: 94,520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143 : 43,634 = 43,634 : x
  2. Step 2: Convert to fraction form
    20,143/43,634 = 43,634/x
  3. Step 3: Cross multiply
    20,143x = 43,634 × 43,634
  4. Step 4: Simplify right side
    20,143x = 1,903,925,956
  5. Step 5: Solve for x
    x = 1,903,925,956/20,143
  6. Step 6: Final answer
    x = 94,520.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.