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Finding the Third Proportional to 12,840 and 18,962

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Solution

The third proportional to 12,840 and 18,962 is: 28,002.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840 : 18,962 = 18,962 : x
  2. Step 2: Convert to fraction form
    12,840/18,962 = 18,962/x
  3. Step 3: Cross multiply
    12,840x = 18,962 × 18,962
  4. Step 4: Simplify right side
    12,840x = 359,557,444
  5. Step 5: Solve for x
    x = 359,557,444/12,840
  6. Step 6: Final answer
    x = 28,002.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.