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Finding the Third Proportional to 30,909 and 57,399

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Solution

The third proportional to 30,909 and 57,399 is: 106,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909 : 57,399 = 57,399 : x
  2. Step 2: Convert to fraction form
    30,909/57,399 = 57,399/x
  3. Step 3: Cross multiply
    30,909x = 57,399 × 57,399
  4. Step 4: Simplify right side
    30,909x = 3,294,645,201
  5. Step 5: Solve for x
    x = 3,294,645,201/30,909
  6. Step 6: Final answer
    x = 106,591.78

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.