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Finding the Third Proportional to 20,800 and 47,488

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Solution

The third proportional to 20,800 and 47,488 is: 108,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800 : 47,488 = 47,488 : x
  2. Step 2: Convert to fraction form
    20,800/47,488 = 47,488/x
  3. Step 3: Cross multiply
    20,800x = 47,488 × 47,488
  4. Step 4: Simplify right side
    20,800x = 2,255,110,144
  5. Step 5: Solve for x
    x = 2,255,110,144/20,800
  6. Step 6: Final answer
    x = 108,418.76

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.