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Finding the Third Proportional to 21.83 and 51.73

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Solution

The third proportional to 21.83 and 51.73 is: 122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.83 : 51.73 = 51.73 : x
  2. Step 2: Convert to fraction form
    21.83/51.73 = 51.73/x
  3. Step 3: Cross multiply
    21.83x = 51.73 × 51.73
  4. Step 4: Simplify right side
    21.83x = 2,676.24
  5. Step 5: Solve for x
    x = 2,676.24/21.83
  6. Step 6: Final answer
    x = 122.58

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.