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Finding the Third Proportional to 17,620 and 38,503

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Solution

The third proportional to 17,620 and 38,503 is: 84,136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,620 : 38,503 = 38,503 : x
  2. Step 2: Convert to fraction form
    17,620/38,503 = 38,503/x
  3. Step 3: Cross multiply
    17,620x = 38,503 × 38,503
  4. Step 4: Simplify right side
    17,620x = 1,482,481,009
  5. Step 5: Solve for x
    x = 1,482,481,009/17,620
  6. Step 6: Final answer
    x = 84,136.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.