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Finding the Third Proportional to 12,685 and 18,977

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Solution

The third proportional to 12,685 and 18,977 is: 28,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685 : 18,977 = 18,977 : x
  2. Step 2: Convert to fraction form
    12,685/18,977 = 18,977/x
  3. Step 3: Cross multiply
    12,685x = 18,977 × 18,977
  4. Step 4: Simplify right side
    12,685x = 360,126,529
  5. Step 5: Solve for x
    x = 360,126,529/12,685
  6. Step 6: Final answer
    x = 28,389.95

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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.