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Finding the Third Proportional to 12.37 and 19.98

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Solution

The third proportional to 12.37 and 19.98 is: 32.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.37 : 19.98 = 19.98 : x
  2. Step 2: Convert to fraction form
    12.37/19.98 = 19.98/x
  3. Step 3: Cross multiply
    12.37x = 19.98 × 19.98
  4. Step 4: Simplify right side
    12.37x = 399.01
  5. Step 5: Solve for x
    x = 399.01/12.37
  6. Step 6: Final answer
    x = 32.27

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.