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Finding the Third Proportional to 133,977 and 213,265

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Solution

The third proportional to 133,977 and 213,265 is: 339,475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,977 : 213,265 = 213,265 : x
  2. Step 2: Convert to fraction form
    133,977/213,265 = 213,265/x
  3. Step 3: Cross multiply
    133,977x = 213,265 × 213,265
  4. Step 4: Simplify right side
    133,977x = 45,481,960,225
  5. Step 5: Solve for x
    x = 45,481,960,225/133,977
  6. Step 6: Final answer
    x = 339,475.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.