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Finding the Third Proportional to 11,518 and 21,277

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Solution

The third proportional to 11,518 and 21,277 is: 39,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518 : 21,277 = 21,277 : x
  2. Step 2: Convert to fraction form
    11,518/21,277 = 21,277/x
  3. Step 3: Cross multiply
    11,518x = 21,277 × 21,277
  4. Step 4: Simplify right side
    11,518x = 452,710,729
  5. Step 5: Solve for x
    x = 452,710,729/11,518
  6. Step 6: Final answer
    x = 39,304.63

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.