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Finding the Third Proportional to 12,680 and 16,214

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Solution

The third proportional to 12,680 and 16,214 is: 20,732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680 : 16,214 = 16,214 : x
  2. Step 2: Convert to fraction form
    12,680/16,214 = 16,214/x
  3. Step 3: Cross multiply
    12,680x = 16,214 × 16,214
  4. Step 4: Simplify right side
    12,680x = 262,893,796
  5. Step 5: Solve for x
    x = 262,893,796/12,680
  6. Step 6: Final answer
    x = 20,732.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.