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Finding the Third Proportional to 12,339 and 18,815

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Solution

The third proportional to 12,339 and 18,815 is: 28,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339 : 18,815 = 18,815 : x
  2. Step 2: Convert to fraction form
    12,339/18,815 = 18,815/x
  3. Step 3: Cross multiply
    12,339x = 18,815 × 18,815
  4. Step 4: Simplify right side
    12,339x = 354,004,225
  5. Step 5: Solve for x
    x = 354,004,225/12,339
  6. Step 6: Final answer
    x = 28,689.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.