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Finding the Third Proportional to 20.50 and 31.25

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Solution

The third proportional to 20.50 and 31.25 is: 47.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.50 : 31.25 = 31.25 : x
  2. Step 2: Convert to fraction form
    20.50/31.25 = 31.25/x
  3. Step 3: Cross multiply
    20.50x = 31.25 × 31.25
  4. Step 4: Simplify right side
    20.50x = 976.56
  5. Step 5: Solve for x
    x = 976.56/20.50
  6. Step 6: Final answer
    x = 47.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.