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Finding the Third Proportional to 12,976 and 20,273

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Solution

The third proportional to 12,976 and 20,273 is: 31,673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,976 : 20,273 = 20,273 : x
  2. Step 2: Convert to fraction form
    12,976/20,273 = 20,273/x
  3. Step 3: Cross multiply
    12,976x = 20,273 × 20,273
  4. Step 4: Simplify right side
    12,976x = 410,994,529
  5. Step 5: Solve for x
    x = 410,994,529/12,976
  6. Step 6: Final answer
    x = 31,673.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.