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Finding the Third Proportional to 103,049 and 213,991

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Solution

The third proportional to 103,049 and 213,991 is: 444,372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,049 : 213,991 = 213,991 : x
  2. Step 2: Convert to fraction form
    103,049/213,991 = 213,991/x
  3. Step 3: Cross multiply
    103,049x = 213,991 × 213,991
  4. Step 4: Simplify right side
    103,049x = 45,792,148,081
  5. Step 5: Solve for x
    x = 45,792,148,081/103,049
  6. Step 6: Final answer
    x = 444,372.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.