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Finding the Third Proportional to 21.99 and 47.83

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Solution

The third proportional to 21.99 and 47.83 is: 104.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.99 : 47.83 = 47.83 : x
  2. Step 2: Convert to fraction form
    21.99/47.83 = 47.83/x
  3. Step 3: Cross multiply
    21.99x = 47.83 × 47.83
  4. Step 4: Simplify right side
    21.99x = 2,287.55
  5. Step 5: Solve for x
    x = 2,287.55/21.99
  6. Step 6: Final answer
    x = 104.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.