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Finding the Third Proportional to 11,911 and 21,209

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Solution

The third proportional to 11,911 and 21,209 is: 37,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911 : 21,209 = 21,209 : x
  2. Step 2: Convert to fraction form
    11,911/21,209 = 21,209/x
  3. Step 3: Cross multiply
    11,911x = 21,209 × 21,209
  4. Step 4: Simplify right side
    11,911x = 449,821,681
  5. Step 5: Solve for x
    x = 449,821,681/11,911
  6. Step 6: Final answer
    x = 37,765.23

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.