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Finding the Third Proportional to 21.19 and 51.84

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Solution

The third proportional to 21.19 and 51.84 is: 126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.19 : 51.84 = 51.84 : x
  2. Step 2: Convert to fraction form
    21.19/51.84 = 51.84/x
  3. Step 3: Cross multiply
    21.19x = 51.84 × 51.84
  4. Step 4: Simplify right side
    21.19x = 2,687.77
  5. Step 5: Solve for x
    x = 2,687.77/21.19
  6. Step 6: Final answer
    x = 126.86

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.