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Finding the Third Proportional to 20,800 and 44,552

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Solution

The third proportional to 20,800 and 44,552 is: 95,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800 : 44,552 = 44,552 : x
  2. Step 2: Convert to fraction form
    20,800/44,552 = 44,552/x
  3. Step 3: Cross multiply
    20,800x = 44,552 × 44,552
  4. Step 4: Simplify right side
    20,800x = 1,984,880,704
  5. Step 5: Solve for x
    x = 1,984,880,704/20,800
  6. Step 6: Final answer
    x = 95,426.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.