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Finding the Third Proportional to 12,698 and 18,992

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Solution

The third proportional to 12,698 and 18,992 is: 28,405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698 : 18,992 = 18,992 : x
  2. Step 2: Convert to fraction form
    12,698/18,992 = 18,992/x
  3. Step 3: Cross multiply
    12,698x = 18,992 × 18,992
  4. Step 4: Simplify right side
    12,698x = 360,696,064
  5. Step 5: Solve for x
    x = 360,696,064/12,698
  6. Step 6: Final answer
    x = 28,405.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.