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Finding the Third Proportional to 131,503 and 213,647

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Solution

The third proportional to 131,503 and 213,647 is: 347,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,503 : 213,647 = 213,647 : x
  2. Step 2: Convert to fraction form
    131,503/213,647 = 213,647/x
  3. Step 3: Cross multiply
    131,503x = 213,647 × 213,647
  4. Step 4: Simplify right side
    131,503x = 45,645,040,609
  5. Step 5: Solve for x
    x = 45,645,040,609/131,503
  6. Step 6: Final answer
    x = 347,102.66

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.