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Finding the Third Proportional to 21.20 and 50.15

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Solution

The third proportional to 21.20 and 50.15 is: 118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.20 : 50.15 = 50.15 : x
  2. Step 2: Convert to fraction form
    21.20/50.15 = 50.15/x
  3. Step 3: Cross multiply
    21.20x = 50.15 × 50.15
  4. Step 4: Simplify right side
    21.20x = 2,515.06
  5. Step 5: Solve for x
    x = 2,515.06/21.20
  6. Step 6: Final answer
    x = 118.64

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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.