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Finding the Third Proportional to 199,013 and 420,489

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Solution

The third proportional to 199,013 and 420,489 is: 888,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,013 : 420,489 = 420,489 : x
  2. Step 2: Convert to fraction form
    199,013/420,489 = 420,489/x
  3. Step 3: Cross multiply
    199,013x = 420,489 × 420,489
  4. Step 4: Simplify right side
    199,013x = 176,810,999,121
  5. Step 5: Solve for x
    x = 176,810,999,121/199,013
  6. Step 6: Final answer
    x = 888,439.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.