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Finding the Third Proportional to 103,680 and 213,903

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Solution

The third proportional to 103,680 and 213,903 is: 441,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,680 : 213,903 = 213,903 : x
  2. Step 2: Convert to fraction form
    103,680/213,903 = 213,903/x
  3. Step 3: Cross multiply
    103,680x = 213,903 × 213,903
  4. Step 4: Simplify right side
    103,680x = 45,754,493,409
  5. Step 5: Solve for x
    x = 45,754,493,409/103,680
  6. Step 6: Final answer
    x = 441,304.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.