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Finding the Third Proportional to 12,984 and 18,503

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Solution

The third proportional to 12,984 and 18,503 is: 26,367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984 : 18,503 = 18,503 : x
  2. Step 2: Convert to fraction form
    12,984/18,503 = 18,503/x
  3. Step 3: Cross multiply
    12,984x = 18,503 × 18,503
  4. Step 4: Simplify right side
    12,984x = 342,361,009
  5. Step 5: Solve for x
    x = 342,361,009/12,984
  6. Step 6: Final answer
    x = 26,367.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.