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Finding the Third Proportional to 109,911 and 239,406

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Solution

The third proportional to 109,911 and 239,406 is: 521,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,911 : 239,406 = 239,406 : x
  2. Step 2: Convert to fraction form
    109,911/239,406 = 239,406/x
  3. Step 3: Cross multiply
    109,911x = 239,406 × 239,406
  4. Step 4: Simplify right side
    109,911x = 57,315,232,836
  5. Step 5: Solve for x
    x = 57,315,232,836/109,911
  6. Step 6: Final answer
    x = 521,469.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.