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Finding the Third Proportional to 12,690 and 18,965

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Solution

The third proportional to 12,690 and 18,965 is: 28,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690 : 18,965 = 18,965 : x
  2. Step 2: Convert to fraction form
    12,690/18,965 = 18,965/x
  3. Step 3: Cross multiply
    12,690x = 18,965 × 18,965
  4. Step 4: Simplify right side
    12,690x = 359,671,225
  5. Step 5: Solve for x
    x = 359,671,225/12,690
  6. Step 6: Final answer
    x = 28,342.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.