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Finding the Third Proportional to 20.75 and 38.50

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Solution

The third proportional to 20.75 and 38.50 is: 71.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.75 : 38.50 = 38.50 : x
  2. Step 2: Convert to fraction form
    20.75/38.50 = 38.50/x
  3. Step 3: Cross multiply
    20.75x = 38.50 × 38.50
  4. Step 4: Simplify right side
    20.75x = 1,482.25
  5. Step 5: Solve for x
    x = 1,482.25/20.75
  6. Step 6: Final answer
    x = 71.43

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.