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Finding the Third Proportional to 8,453 and 20,339

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Solution

The third proportional to 8,453 and 20,339 is: 48,938.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453 : 20,339 = 20,339 : x
  2. Step 2: Convert to fraction form
    8,453/20,339 = 20,339/x
  3. Step 3: Cross multiply
    8,453x = 20,339 × 20,339
  4. Step 4: Simplify right side
    8,453x = 413,674,921
  5. Step 5: Solve for x
    x = 413,674,921/8,453
  6. Step 6: Final answer
    x = 48,938.24

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.