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Finding the Third Proportional to 12,578 and 16,682

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Solution

The third proportional to 12,578 and 16,682 is: 22,125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578 : 16,682 = 16,682 : x
  2. Step 2: Convert to fraction form
    12,578/16,682 = 16,682/x
  3. Step 3: Cross multiply
    12,578x = 16,682 × 16,682
  4. Step 4: Simplify right side
    12,578x = 278,289,124
  5. Step 5: Solve for x
    x = 278,289,124/12,578
  6. Step 6: Final answer
    x = 22,125.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.