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Finding the Third Proportional to 20,777 and 38,453

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Solution

The third proportional to 20,777 and 38,453 is: 71,166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,777 : 38,453 = 38,453 : x
  2. Step 2: Convert to fraction form
    20,777/38,453 = 38,453/x
  3. Step 3: Cross multiply
    20,777x = 38,453 × 38,453
  4. Step 4: Simplify right side
    20,777x = 1,478,633,209
  5. Step 5: Solve for x
    x = 1,478,633,209/20,777
  6. Step 6: Final answer
    x = 71,166.83

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.