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Finding the Third Proportional to 10,122 and 20,745

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Solution

The third proportional to 10,122 and 20,745 is: 42,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122 : 20,745 = 20,745 : x
  2. Step 2: Convert to fraction form
    10,122/20,745 = 20,745/x
  3. Step 3: Cross multiply
    10,122x = 20,745 × 20,745
  4. Step 4: Simplify right side
    10,122x = 430,355,025
  5. Step 5: Solve for x
    x = 430,355,025/10,122
  6. Step 6: Final answer
    x = 42,516.80

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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.