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Finding the Third Proportional to 21.21 and 50.14

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Solution

The third proportional to 21.21 and 50.14 is: 118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.21 : 50.14 = 50.14 : x
  2. Step 2: Convert to fraction form
    21.21/50.14 = 50.14/x
  3. Step 3: Cross multiply
    21.21x = 50.14 × 50.14
  4. Step 4: Simplify right side
    21.21x = 2,513.76
  5. Step 5: Solve for x
    x = 2,513.76/21.21
  6. Step 6: Final answer
    x = 118.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.