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Finding the Third Proportional to 19.50 and 31.44

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Solution

The third proportional to 19.50 and 31.44 is: 50.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.50 : 31.44 = 31.44 : x
  2. Step 2: Convert to fraction form
    19.50/31.44 = 31.44/x
  3. Step 3: Cross multiply
    19.50x = 31.44 × 31.44
  4. Step 4: Simplify right side
    19.50x = 988.32
  5. Step 5: Solve for x
    x = 988.32/19.50
  6. Step 6: Final answer
    x = 50.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.