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Finding the Third Proportional to 12,478 and 20,793

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Solution

The third proportional to 12,478 and 20,793 is: 34,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478 : 20,793 = 20,793 : x
  2. Step 2: Convert to fraction form
    12,478/20,793 = 20,793/x
  3. Step 3: Cross multiply
    12,478x = 20,793 × 20,793
  4. Step 4: Simplify right side
    12,478x = 432,348,849
  5. Step 5: Solve for x
    x = 432,348,849/12,478
  6. Step 6: Final answer
    x = 34,648.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.